{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e8b79aaa-6d2e-4408-b8a4-d684879b2fac",
   "metadata": {},
   "source": [
    "Copyright (c) MONAI Consortium  \n",
    "Licensed under the Apache License, Version 2.0 (the \"License\");  \n",
    "you may not use this file except in compliance with the License.  \n",
    "You may obtain a copy of the License at  \n",
    "&nbsp;&nbsp;&nbsp;&nbsp;http://www.apache.org/licenses/LICENSE-2.0  \n",
    "Unless required by applicable law or agreed to in writing, software  \n",
    "distributed under the License is distributed on an \"AS IS\" BASIS,  \n",
    "WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.  \n",
    "See the License for the specific language governing permissions and  \n",
    "limitations under the License."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63d95da6",
   "metadata": {},
   "source": [
    "# Using ControlNet to control image generation\n",
    "\n",
    "This tutorial illustrates how to use MONAI Generative Models to train a ControlNet [1]. ControlNets are hypernetworks that allow for supplying extra conditioning to ready-trained diffusion models. In this example, we will walk through training a ControlNet that allows us to specify a whole-brain mask that the sampled image must respect.\n",
    "\n",
    "\n",
    "\n",
    "In summary, the tutorial will cover the following:\n",
    "1. Loading and preprocessing a dataset (we extract the brain MRI dataset 2D slices from 3D volumes from the BraTS dataset)\n",
    "2. Training a 2D diffusion model\n",
    "3. Freeze the diffusion model and train a ControlNet\n",
    "3. Conditional sampling with the ControlNet\n",
    "\n",
    "[1] - Zhang et al. [Adding Conditional Control to Text-to-Image Diffusion Models](https://arxiv.org/abs/2302.05543)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6711d2e-554b-4f25-bd8d-836cfecd2a6d",
   "metadata": {},
   "source": [
    "## Setup environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "022890b1-ea44-4c60-8a80-ed1fc755f90b",
   "metadata": {},
   "outputs": [],
   "source": [
    "!python -c \"import monai\" || pip install -q \"monai-weekly[tqdm]\"\n",
    "!python -c \"import matplotlib\" || pip install -q matplotlib\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b766027",
   "metadata": {},
   "source": [
    "## Setup imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "972ed3f3",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import time\n",
    "import tempfile\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "from monai import transforms\n",
    "from monai.apps import DecathlonDataset\n",
    "from monai.config import print_config\n",
    "from monai.data import DataLoader\n",
    "from monai.utils import first, set_determinism\n",
    "from torch.amp import GradScaler, autocast\n",
    "from tqdm import tqdm\n",
    "from monai.inferers import ControlNetDiffusionInferer, DiffusionInferer\n",
    "from monai.networks.nets import DiffusionModelUNet, ControlNet\n",
    "from monai.networks.schedulers import DDPMScheduler\n",
    "\n",
    "print_config()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d4ff515",
   "metadata": {},
   "source": [
    "## Setup data directory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8b4323e7",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/tmp/tmp8j8250od\n"
     ]
    }
   ],
   "source": [
    "directory = os.environ.get(\"MONAI_DATA_DIRECTORY\")\n",
    "root_dir = tempfile.mkdtemp() if directory is None else directory\n",
    "print(root_dir)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99175d50",
   "metadata": {},
   "source": [
    "### Set deterministic training for reproducibility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "34ea510f",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "set_determinism(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3f70dd1-236a-47ff-a244-575729ad92ba",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Setup the brain tumour Decathlon dataset\n",
    "\n",
    "We now download the Decathlon tumour dataset and extract the 2D slices from the 3D volumes. The images have four MRI channels: FLAIR, T1, T1c and T2. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87977bac-ff5e-4612-b9f2-b069d6ad9e9a",
   "metadata": {},
   "source": [
    "### Specify transforms\n",
    "\n",
    "We use the following transforms:\n",
    "- `LoadImaged`: load the nifti image\n",
    "- `EnsureChannelFirstd`: to bring the channel into the first dimension\n",
    "- `Lambdad`: custom transform to select the modality (0: T1, 1: T2 etc.)\n",
    "- `EnsureChannelFirstd`: do it again to create a channel (as one channel was selected previously, the channel dim is gone)\n",
    "- `EnsureTyped`: we ensure that the image is indeed a tensor\n",
    "- `Orientationd`: we reorient the images to make sure that they match RAS\n",
    "- `Spacingd`: we bring the image resolution to 3, 3, 2\n",
    "- `CenterSpatialCropd`: We select the central 64x64x44 crop\n",
    "- `ScaleIntensityRangePercentilesd`: we normalise with percentiles\n",
    "- `RandSpatialCropd`: we select an axial slice per volume\n",
    "- `Lambdad`: we squeeze along the axial dimension\n",
    "- `CopyItemsd`: we copy the image into a \"mask\" element\n",
    "- `Lambdad`: we threshold the mask (which is the image) to turn it into a binary mask.\n",
    "- `FillHolesd`: with this, we remove any potential artifact that happened during the thresholding\n",
    "- `CastToTyped`: we cast to float.32"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c68d2d91-9a0b-4ac1-ae49-f4a64edbd82a",
   "metadata": {},
   "outputs": [],
   "source": [
    "channel = 0\n",
    "assert channel in [0, 1, 2, 3], \"Choose a valid channel\"\n",
    "\n",
    "train_transforms = transforms.Compose(\n",
    "    [\n",
    "        transforms.LoadImaged(keys=[\"image\"]),\n",
    "        transforms.EnsureChannelFirstd(keys=[\"image\"]),\n",
    "        transforms.Lambdad(keys=[\"image\"], func=lambda x: x[channel, :, :, :]),\n",
    "        transforms.EnsureChannelFirstd(keys=[\"image\"], channel_dim=\"no_channel\"),\n",
    "        transforms.EnsureTyped(keys=[\"image\"]),\n",
    "        # transforms.Orientationd(keys=[\"image\"], axcodes=\"RAS\"),\n",
    "        transforms.Spacingd(keys=[\"image\"], pixdim=(3.0, 3.0, 2.0), mode=\"bilinear\"),\n",
    "        transforms.CenterSpatialCropd(keys=[\"image\"], roi_size=(64, 64, 44)),\n",
    "        transforms.ScaleIntensityRangePercentilesd(keys=\"image\", lower=0, upper=99.5, b_min=0, b_max=1),\n",
    "        transforms.RandSpatialCropd(keys=[\"image\"], roi_size=(64, 64, 1), random_size=False),\n",
    "        transforms.Lambdad(keys=[\"image\"], func=lambda x: x.squeeze(-1)),\n",
    "        transforms.CopyItemsd(keys=[\"image\"], times=1, names=[\"mask\"]),\n",
    "        transforms.Lambdad(keys=[\"mask\"], func=lambda x: torch.where(x > 0.1, 1, 0)),\n",
    "        transforms.FillHolesd(keys=[\"mask\"]),\n",
    "        transforms.CastToTyped(keys=[\"mask\"], dtype=np.float32),\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d378ac6",
   "metadata": {},
   "source": [
    "We create the training and validation datasets:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "da1927b0",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading dataset: 100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 387/387 [01:48<00:00,  3.57it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Length of training data: 387\n",
      "Train image shape torch.Size([1, 64, 64])\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading dataset: 100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 96/96 [00:27<00:00,  3.51it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Length of val data: 96\n",
      "Validation image shape torch.Size([1, 64, 64])\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "train_ds = DecathlonDataset(\n",
    "    root_dir=root_dir,\n",
    "    task=\"Task01_BrainTumour\",\n",
    "    section=\"training\",\n",
    "    cache_rate=1.0,  # you may need a few Gb of RAM... Set to 0 otherwise\n",
    "    num_workers=4,\n",
    "    download=True,\n",
    "    seed=0,\n",
    "    transform=train_transforms,\n",
    ")\n",
    "print(f\"Length of training data: {len(train_ds)}\")\n",
    "print(f'Train image shape {train_ds[0][\"image\"].shape}')\n",
    "\n",
    "val_ds = DecathlonDataset(\n",
    "    root_dir=root_dir,\n",
    "    task=\"Task01_BrainTumour\",\n",
    "    section=\"validation\",\n",
    "    cache_rate=1.0,  # you may need a few Gb of RAM... Set to 0 otherwise\n",
    "    num_workers=4,\n",
    "    download=True,\n",
    "    seed=0,\n",
    "    transform=train_transforms,\n",
    ")\n",
    "print(f\"Length of val data: {len(val_ds)}\")\n",
    "print(f'Validation image shape {val_ds[0][\"image\"].shape}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8e4d6164-00e5-4663-a678-1391438574e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "train_loader = DataLoader(train_ds, batch_size=8, shuffle=True, num_workers=2, drop_last=True, persistent_workers=True)\n",
    "val_loader = DataLoader(val_ds, batch_size=8, shuffle=False, num_workers=2, drop_last=True, persistent_workers=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d86ba60-84d2-49f2-95c1-2ab611310d84",
   "metadata": {},
   "source": [
    "### Visualise the images and masks\n",
    "We load some images and masks to make sure things make sense:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "17a5e9a4-9756-400b-8dbd-0f1d457ad3dd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Batch shape: torch.Size([64, 1, 64, 64])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "check_data = first(train_loader)\n",
    "print(f\"Batch shape: {check_data['image'].shape}\")\n",
    "image_visualisation = torch.cat(\n",
    "    (\n",
    "        torch.cat(\n",
    "            [\n",
    "                check_data[\"image\"][0, 0],\n",
    "                check_data[\"image\"][1, 0],\n",
    "                check_data[\"image\"][2, 0],\n",
    "                check_data[\"image\"][3, 0],\n",
    "            ],\n",
    "            dim=1,\n",
    "        ),\n",
    "        torch.cat(\n",
    "            [check_data[\"mask\"][0, 0], check_data[\"mask\"][1, 0], check_data[\"mask\"][2, 0], check_data[\"mask\"][3, 0]],\n",
    "            dim=1,\n",
    "        ),\n",
    "    ),\n",
    "    dim=0,\n",
    ")\n",
    "plt.figure(figsize=(6, 3))\n",
    "plt.imshow(image_visualisation, vmin=0, vmax=1, cmap=\"gray\")\n",
    "plt.axis(\"off\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de29d929-bc99-4235-aea6-d6867c3d360c",
   "metadata": {},
   "source": [
    "## Train the Diffusion model\n",
    "In general, a ControlNet can be trained in combination with a pre-trained, frozen diffusion model. In this case we will quickly train the diffusion model first."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08428bc6",
   "metadata": {},
   "source": [
    "### Define network, scheduler, optimizer, and inferer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "bee5913e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "device = torch.device(\"cuda\")\n",
    "\n",
    "model = DiffusionModelUNet(\n",
    "    spatial_dims=2,\n",
    "    in_channels=1,\n",
    "    out_channels=1,\n",
    "    channels=(128, 256, 256),\n",
    "    attention_levels=(False, True, True),\n",
    "    num_res_blocks=1,\n",
    "    num_head_channels=256,\n",
    ")\n",
    "model.to(device)\n",
    "\n",
    "scheduler = DDPMScheduler(num_train_timesteps=1000)\n",
    "\n",
    "optimizer = torch.optim.Adam(params=model.parameters(), lr=2.5e-5)\n",
    "\n",
    "inferer = DiffusionInferer(scheduler)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f815ff34",
   "metadata": {},
   "source": [
    "### Run training\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9a4fc901",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:0/200: training loss 0.951951\n",
      "epoch:10/200: training loss 0.437592\n",
      "epoch:20/200: training loss 0.150791\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "validation loss: 0.052139\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:30/200: training loss 0.056416\n",
      "epoch:40/200: training loss 0.032445\n",
      "epoch:50/200: training loss 0.022699\n",
      "validation loss: 0.032189\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:60/200: training loss 0.020905\n",
      "epoch:70/200: training loss 0.025322\n",
      "epoch:80/200: training loss 0.019249\n",
      "validation loss: 0.014976\n"
     ]
    },
    {
     "data": {
      "image/png": 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MlraR1nz6d56TcViChQOlw2scdE13aFsRGG4WqVPrgWHyg05gpWjvm4CgNtP8oKaQTEqIx5qg1LYmwU47sNvtyuTT/COfrVwuS8a4mSShn3nWMlcQ8kXato18Po9cLodMJiPxVT1gOnTGz/UypzNJmBGjU6SANxpBaxSmZ9E+4/GaONYJqjw3JwQHnx40QcfMaO106KVROykEH8FGDa3zHfls+p3wfDwP079c10WtVvPVunASar6S2lQ7WlpmGTkxzaa3yVRAyKVtc3MTd+/exerqqhCzNNT5omhw83dtzJu5dPyb67q+nD1muGgvUmspahGCsNlsotfrySB3u10BiOu6cBwHx8fHvomzvr6OaDTq87RNjhF4ww+SPjK1pDYfCBw+g35/BCFXjZOTE1QqFR/XmUwmpQSVKWU6js0CLVMW0VmZindMQKVSKaytrWFtbQ25XM6nJRmZIBBop2mtwJ98mdVqFcDQCSHodIoUB5H3ofMCCW59TTPjhlQHBzUcDp+JX2tnxrTDtBMyis6h6KiIJsX5vNScvJ5OxNBZQIwwaYrruuUhXjizmvK22UTm/9atW3jw4AHu3r2L+/fvo1ar4eDgQGa5Pi81hZlM6nmeGPwnJydoNBri4HQ6HUlgoL3GPEPTMeA1qTVov3HAe70eGo0Gjo+PYVmWHJfNZhEOh31RG/1Pp3FpzagjN5oN4LU1N0gwM0WMS61ecjOZjMTK6cBYliVlAkdHRz6gm6DX73PR5FJJre+aaVwiNJWh/2ltpXkz097SNhdT9+mIAP4lx8wNHHWfmj4iaPhdYJjtTDDr2hQzwqLfCyklTT5roFJzaseDou3HUcX3puhJy3vWYU8N/EVcekfJxCmaYDCIW7duIZ1OIxQKSV0tB4r9XzgopCEikYgvL4/2k+u6qFQqaLVaqNVqaLVaaLVaPm4tHA4jk8n4Mm1oM46KXnAi0FakEc+YrAaLJrI1B6jjyfV6/Ywnz2PpSPAnn1un/PPYVqslE4W2rOd54iVT6/K9UUKhEPL5PGzblqxsPRlN7bxoMnGbkLUXsVjsjEYjlaI9Vb4sbaDrZYNeK/MDzbgttR/5P61lzCVJG/3A0PHR+YbkFzno2i7T5+H59bPw+fXyTO2mi6T4XR6v7VIzy5vf0RpfvyOdKkZnx1wJtI26iDIVx4TNgDKZDLLZrHjAXDa03cOwm3YSOCBMQmg0Gmg2m6hWq2g2m8hkMshkMlJfDECSXbmc6SRWesvdbhe2bSORSIjW5NLFkB4zoKmxRmW1aPKYANVOhQ7nEei095jixYRdwN/nkLYpz2tZlqwmiUQCKysrCAaDiMfj6HQ6ePLkCer1OkqlktRPm0kb+uciylTIaoKNYGSslYNtEq4mT8af1IC0/XR6OwuOmIZPXo+DadpndFy4FOvrUTua6V/8qTX6KE/YTJrlOQlCzVWaERz93nhO7ZAAkKJ6Ol2s0gPeBATK5bL03OG1tSwyAIEpaUKmyWezWezt7UlxOnDWwaGG1J1QSTYXCgV0u13EYjF0u1188MEHAIYOCVt7MH1eUyb0LvVyzaRT3bOaPCG1hybKuSxrrcT71pETAqvVavm6OOh2IwQh09J0yhgnBkFJflBHeDhxK5WK3L/neXjw4AEcx8E333yD169fCyC5TC86AIEJF7/zJRKEmUwG7733nm8AR4GQg8gXzeVqdXVVCO1+v4+1tTUkEgmpUKNW4Hk1CcylVkcUyKfpUgBmbOvohdaYBIv5Hsz4LycQJ5MOvennp23H89LB0d69zijiu2D2da1WQ7fblQn4wQcfIBAISLF8rVYb2UZk3DGch0xUE5Lczefz0jDyPDpHayLLssRu4zKrQ3MsXuJgRSIRpFIpGTTXdSW5leDi3xima7fbKJVKAIaDQeeDg6LzDE1QaW9bZ0YTyAAE8HRGAD/YTNNDR0AA+PhI0yalLc1kDdqf1PbNZhP1el1+5zW0mA7WosiFQfg2N9+23xSW3759WzKpR9EEms+jvcgICCMA2jukZuBnrEzTNRxcanX5p2VZwi+ySSar50iOe56Hra0t3Lp1y3dNTZTz2Rg9IVjMIiZqWM39MUFDe+V8H6StSI6TwCfwCVxW8/F7BB+bJw0GAxSLRWk7pyeifvfm/xdFJppZTYM7Ho8jlUqdcQL4U9tYJhVhnpeA1UJtpJdw2nIEgdaK7IzFpZ9EOm24Tqcj3CMBprtz8ZqjslRGvQtODgJQP7/ptWqbUoOVE5Mg15pQp5FpKmkU0b2IoDPlUpoQGP1wdBjW1taws7MjtbuaN9NhLG0rEVA6LZ+xXn1NLlHBYFDCdtQWPA+XSMuy0G63ZVB1Ebvrutjf30elUkGj0UC/30c0GpUaEGqUdDp9pqpOJ8RyWdWalZ229DvT/KEZgeE7YcyamUFs1k4tqetbyLey0SdJfzOaAwyBf5HMllnKhUH4LruCYNLemf7Hc5jn1J/p4L4GIMlqdtvnkqSP09ekrcn/MzQIDNP96Z1qbg3AGU2tSWT9d/5ff5eTxCTTeQ+WNdwXRYv5DKRmmOxBR44TQVcNag1qxrEXXS4Fwrc9XKvVwpMnT1CtVvHhhx/izp07Pv5ODywwrDHRBr4u3dSa5vnz59JilxV6enmjE0LS2XVdiYJo240ASKVSCIfD0uRcRzaSyaRPY5shQGpqOkzU4P1+HxsbG9jZ2fGlajFRl71myuUyms2mz0MmC1CpVNBut/H06VNUKhXs7e3B8zxks1msr6/Lfipc8gOBgPRrbDabCAaDUiAPLK4GpFwIhOPMrF6vh3K5jGg06mvZoT1WfS7OZFPrmV6r67qoVqvSSKjRaEjQnsJllM3R2Y+atRsm8Uytwh6GXN6Bs7ab1oTUbJpe0t+JRCJIJpO+cCK5P535re9bv49ms4lms4lyuYxKpYJ8Po9ms4lUKuXLoOHxtIHD4bBEhbRNvOhyIZ5Qa6fzxPM8HB8fo9froVgsol6vS6JpOBwWpl8vo1yeGL7jQNHzZaTk1atXODg4QLVaRbVaPeMsaM5NR0p0kiswzGrWnnmtVvNRInoC8PnpIJCKYT9BAp/38OLFC9RqNUmU1e+My7FO5+J98ngmIdTrdTE/nj59KhsDua6LYrGIfr8vjTTL5bIkd2gz5TrIRB0TCivq6vW6vBTHcRCLxcT7ZG9A8nt6UMylmuQ36ymoIbSG5ezPZDLS+Up70AB8IGRUBRhm7BBk2nbVWornJE3DaI2+BgCcnp7i+fPnaLfbqFarApZAIIDV1VUp72QIk0A+PT2F4zgolUo+brJcLsvk5jZnbJennQ7azbqa8DrIVJpkkpt78eIFvvrqK0k44FJIsPX7fanII9Vi2oykS1zXRTqdxvb2tiSc6qbobCXHPEBqLO2Z6hJNbSNqL1ffA/9GTd1qteS6/X4fz549g+M4ePnyJVzXlWtz3xRqck4Uz/NQq9XOUE4AhPPT1Xo6QYLaU9e+AJB6a44PV5TzQLiIS/RUklpJCD979gyJRAIffvghcrncmUB/v9+X9hVmRoq+Dl9yNpuVNhi2bcvGNLFYDBsbG6JlAUh+opldrZ+BIDXvicu6vhftzdq2jWKxiKdPn6LZbOLo6Aie52Fvbw+pVMpXZagdssFgIJqRS6ZObjATHHg9eu9sDKBNIxbBjyOLGC0BprzzO7d6IJ+li9jJ2Zk0Dl8ws2i0PaVDXOTOdDq/9gK1dtWfaU1sLrvA0F7UjoJlvdlUUU9EplfxX7/fx/HxsThNPL9Z4adLSnldrf1GaSnNJ+qS0ndlYZ83LosmUyl+B97MOhY69ft9HBwcIB6PI5vN+gaZdIz+Hp0TnRlDR4WznrFj1ttyMLVoh0QPGgddmwVMdjCL0nmvJI45EWq1muQ3sptrqVSCZVkyOXTtMLOv9TvU96Lfgbnq8N653S2/N+5YLLpMRRNyYNvtNur1umw2o180ATCKVDWD9/ozvWQznkt6Qh+vq+BGmRJa62gymqKBaDoePD8pEaZs8Vw8H21ZXbR+nmN3Hpj05+Y93RSZ2nLcbrfxv//9D51OB59++in29vZkeWbWtC7s4eDpJZfZM1zutHNBz5oOCTc21DHfQCAgzouuZjM1JgFMjai1Js0Gcn38G7sisD1bpVKR8J7mKVutls/JMM0Oynn2mjlZbqJMtT8hNQSJYR3KAnBmUPgZqQczvqw1FgHJzBZSPZqMBs6SziZprc9rAsVMkOCyznNGo9EzKWTa7hxVgG5qNlPOW5bPO/4myERByEEiiB48eICf/exn2Nra8jkbHFRz4DRpq7UePVkNLOYVsl6Ex5Lnozerg/68L0ZZeAy9VR6rbUFeV/OOeimMRCK4c+cOarUajo+PJaGC59VgHxeAN2mpHUcmCkLt2QaDQeTzeezu7koc1jTEdWWY9kZNm5BaisdqjaQr9HgPAHwep87NA+Db4IbHEjRmWE1rzlG/27aN1dVVhEIhVCoVXzH+qGX0Xdrvbe/2sppwnADDPGXimdWhUAiFQgHpdBobGxsS76R2YjWbBoumLEybSfN7mtIhCEwO0KRhAPgysvV5WNesNRftP04Q03HS1yI5ncvlEIvFsL+/f8Z00N8ztSjwhgNMJBKSdDENoCwq+ChTSe8vFArSkSuRSMhL6PV6kiBg9pyhNtLxYO0F81jtHRM82n7Ux1F7khCmY8IoA6MawLC5ummPatEaHIAv9BaJRATkoyIufCYzWTYYDEp/a8aZ5+GATEpbXuY8EwWhSbZqkAQCAUnBp9fJMBQzn3ncqDR4LnFaM+mYMetRCGYduqI9x+9wCY/H41LJRr6S32Gthhlloej9k2kz3rlzB9lsVkwBcogse+Bng8FANt+uVCqyQ71JPs9yGZ3UNS5znomC0Fy66GTQM47FYkin03BdF69fv5ZNZRqNBtLptDgZWgsNBsOGmqZtRZCQswMgGcZ0MrgMa+1EUprXoRbSURyaDYzIUKjRuO8yyfREIoFPP/3Ulx3+6tUrfPfdd1I5CEBi5T//+c9x+/Zt/POf/8Tnn38uwNVykQFddLvvbTJxEFILmW0+KHqppG2nC+VNW1BHNcxzELDUhp7nydKrgUPRoTJqVkZidI3GKNpIa2qT0iGYdQdYRknYRN6sPOx0Ojg5OfGVH1xFriP4KBMFIQt8qN2AYU9AgpNdFbj8cJDYw5CaRHvaOlymQalriOk90k5j6SWvRxtQc3/8XE8anT+oQcNd3k0gEXyBQEDqUZhFw3Z2oVAIuVwOtm1jY2MDg8EABwcH+O9//4tSqST1IzdBLuPFT5ysJhdo7ttmhr/MsJvuzULRdI/+TFM1pgbRTgxtPNPQ19rW/FxTOaOuqTlErbF1+n8wGBRnhbt56rplatput4tgcLiZpM6UuU75gFeVqbQLrlarkjnTbDZ9kQyChPYUw3hcrghGzfExLUtrK9NGJOD5fWopvT8JQa4jHkwMoGdKjctwG5d3nXTLe+L2DeQdmbxLyefzSCaTspk2Iyi9Xk+aW7LhZyaTwfb2NiqVCr744gucnJzg66+/lqq9cTTMVbjESYkZqRpHpgJCbgRICkTXY5gxYH6mvVcdSaFdaGqf88JhJiWiqRLabmZJAIExih7RVXi8V/bB0XwitRifhQ4Ra20Iat43l/CVlRWk02npass8xUAggIODA5nEmmc0WQg+37TlIiC/yP1MZTluNBro9Xo4OjrC/v4+1tbWpIkjMBxMLt0EgG4EzmP4QKbXrOPK2pnQ52UfGNbxchB1B3ztlGhKhvYfExXi8bjYe41GQ3YH0FEgncRqRoVo+7JCT+97x9T+b775Br1eD7u7u7h16xbu3buHTqeD/f19YRPYc6ZUKvnCjItG41zEnJha4/RWq4VqtYpyuSx2kdZMBITWQtQS2jY0NZz5z9SUBCHPq+tGtF3KY9jBQHvy1NTaPOA+clzidaNynZ/In4A/3Kh3G+C1CEbaga9fvxY6hxSQbdt49OgRIpGI7HdMM4c276ztx0nTQRPfYJE3GAqFUKvV8PLlSwEYu3SZmS4EgY5+aO5Ph9k0Gc30K01aU8sBozNoAoGAdLgC/G3Y6JnrqAk9Xu5Qz8wdHZbTWdTAMDFCd+ji8+k+ODqhgn10tCmi91z+yU9+IpqvXq9L1eFXX30lTMSsZNJa99LVdqOIY35O7VGpVLC/vy/1vLu7u7h9+7Zvd3VqKdIaBBQNf/J4OlrCJUhzkXq7MjNxQIfvgCFtxJAbtSq1t+d5AgzWtHBvZjZs4rLOa2l7jXUfLNcEIBOm2Wz6ykATiQTi8TiAIY3Fv9HJyWazyOfzMgEajQYODg5wdHSEZ8+ezRyEk5YrLcd6RpiREsuyUC6XYVlv2paVSiV4nod79+6JR6g9S+3d6vw8M4yl7TBe11w+6RyxEFwnN+hsGP6NmonfN/9uxrnNODXvxeQZ9XPovET9XJxk2snRzZk0+c4oD+3E09NTuedREZfrIpfuRXPeA3NQer0efvjhBxweHgJ487JPT09lh6ft7W3RKtrTpBbVdcF68HXPa22/sXspl+larYZGoyHX0APP6AcLr7ipNQDRSvrcZnsSTfdQuwHwtQLRNisLlEim68aenU5H9mZJJpPo9/syYTOZjLREpjcdDAZRq9Xw73//WzYXWllZkd6EiyJT9Y4vcnK9tABvdmN//fo1er0eVlZW4HmetMugDWYmgerr6WwYduECIJt7a8eHKfatVktS77mtBbWKtl9Nopz3xEJ63g//BsBne2pKSNNEBLB2jvR3+ZkZnyY9pf/RLtb9e2blGU9TLr2j0ziiSWXLsnB4eIjPP/9cQlf5fB6JREK0mF6a9ff4krVWYAu3fv9NpwKCulKpoNfroVQq4fDwEIeHh3j+/DkKhQJ++ctfIpvNolAo+BwSdlOg6Hsxn5/g0l49Jw9zG3XsmYBlSpsJIC00FxhDTyQSMuFisRiKxSKOjo5QLpel/oaUzXUO+13aJhyXuNTHsM+KbdvS4EfzhKamMQeKGodai2ClZtNRFAKAy6Xuk2jWolDDUuiZmxyk+by6SMs8RmtD/b64VOsEDv07MNxBXq8MXNK5rQbPqROCr6tcugPDRR6axzabTRwcHACAkMTFYlHsO8uykEwmsbKy4rO1zPJNcmMkkTUI2BHr7t27KBQKeP/993H//n3kcjl8+OGHCIVC0sNaA4HXoL1ITWiyACzeYoKuNh3Y1Fzbkfq72rwws7j5nKSFdATm1atXcBwHJycnODg4QLlcxsnJiexbcp2aH42SqVbbmcKCds2VsYcetRG9ZlIggH/3I00G62RRZkjTachkMkin04hGo9KBNZvNAoB0vdLA1eE3bd+ZHRk0Ma0Hn/fAxk+mR22aMzyHjrES/Pw+ExmYHFssFlEul1GtVsWZumjzo4sqkFnI1DowjPoOX3yn08Hx8TFs28bKyoq0i6O3yAQIvXQBkDCcJrnpEfIYxqkJCGrcer0uNSAEEr1yzTkyRYwgNMNipH7MLg40C9jknDUjuhEmHR2aE5qU5zEM7fFYnqter6PRaMhP9ru5aLRkVgC8yHVmqgk5aOxUGolEztRccNd10ybiMszlk/Yegamr32gfEoB0IhiB0FtU8Hs6gkE7UQOW965LB/i5dlBIydCG089Cz572p05h0/buqIgRkyCazaZowUVchi+jaScetnubUFu1Wi08ffpU+u2trKzgs88+w8cffyxBeoJO22m67yAHTS/ZWqPx/ug5ExQ6LGiG/DTQHcfxLaG8d7PGhWE3anHtrITDYaRSKTkHgUjtC8DnmXOCmQX3u7u7yGazePToEZ48eSL27E2RK4XtLgvEWq2GL7/8UmgN27axs7ODP/3pTzg8PMTR0ZGvyykHm5s1at5MR04sa5jlTC1FErjdbqNYLL55aOU48Ps6ZgtAwM0JYPJy+r50lEZ7qqRXeJ8EpvaYo9Go0C3UbNTu3JhyfX0d0WgUJycnKJVKvpqbUeMwb7vvonTexLv3j3sOBus5609OTvDdd99JzYVe7vgdLr9atE2kl2QdteDfdEjOfAZNd2jCmcDUP3lPDMHxXnUkRd+3WZuidxGg6cD/8ycnFIn4UCiEdDqNQqGARqOBYrF4htrS73decplrX9omvMqD6tlOrfX48WOEw2Hs7Ozg3r17CAQCUh7JQWHdBtsH663HOMi09xhxoNi2Ldnc5wntSB03psbRCRQ6+4X5k4PBQJZW7T3TC+cz0KQgsGhj0l7UcXBqQoL4vffew29+8xu8fPkS//rXv4SimadMQuvO1DHRojWF53kol8s4ODgQj1lrS4rumGV6siboTE2mnRcCUS+do2pLeKzmITUQzWxw7RTxnjjJzFi07m1j3rPmRckmMPdR25TvsgtnsSxP4vwzo2hGnUN7nE+ePMH+/j5SqRTy+Tw2Nzfx2WefSRsReqq01XSGiR5ctuagaGcB8Nt+jKSwewJTyPQ9au9dE+X6GvyOucOojsQQYLw/c3KQDtKlpeze//z5c7x69UrCdicnJ9K0821jMS0AUjFM6vxz04RaPM+TTv/VahWlUgmu6+Lhw4cIBAKIx+OiNWh7maSy+TtwdockXosA0AXy1Dw6O4bf5ff4O/+mCW7+To2qkxD0PRJkpj1nhgCZ1Oo4DorFIg4PD4UjJEk9D9vvqv7AKFkIEALDQWg2m7JtWLlcxvr6Ov7yl79ge3tbNA1Bo7k/OgB6V07btqUmhAAAhlvMWpYlGc3M6WOo0Bxg8ndM19Lg0sS2ZQ2L6YGhrcplWnd44LnM3ea5ZUS5XJZmo8+ePUOz2ZQWxfOiaCbhmJqyMCDUSx0A6QH98uVL/PGPfxQHRcd0dZo/B5k8IVO2GCc2a0J0Gpbe1FEnwAJnPWltEvDaBBqBTWDpmDRFU0AszNdlojo8WCqV0Gq1cHR0hMPDQ2m/rO9/FmIuv5PWwBPvTzjpG+z3+3j06BFOT0/x8ccfo1AoyPYLgL8kMxAISC2wSV0wAkEPmN6r7uygnQECgyAiOBmBIehMGgkY7nxPjpL3BgydK04SftZoNHByciLLL3fuZBY1TRS9fe2s+EBtT+vfJyUT14STfDGMHjx+/Bj7+/vY2NjArVu34DgO6vW6bEqobUAmLXC506lbTINnUyJqQIq2+0gIaxMAGGpCgpBOio5xE0BMngCGYUFqMe5upVuVHBwcoFKp4Ntvv5U6ZS7LjUbD916nYZuZMiuQT7w13CSFA8utJL788ktUq1UZtJ2dHfz0pz/1hfN0XFYvg3q515nc1IAEld6IGxi2FTHzHnXPHJMYbzQasgunzhbiJpGcHJZlyd7IjUYDr169kq3IaCfq2PS03/e8ZGFswvOk33+zSU0gEMDx8bFvj+Lf/e53+MMf/iCkLgDxHKn5GAqjU0DNFQ6HzyyNtVpNMrPNDrCkehjB6PV6aLfbPo3EY09OTnB4eIhwOIz9/X04joPj42O0220cHBxIIgK7+xNw53n3ozJlpg1A8x5GRWYmJQsNQv3Q7Bmj24oUi0X88MMPyGaz2NzclJ4xrB3WYTgd8wWGyQcmga1Tu/R9aD6PYtI32tYEIPUtzCh3HAe1Wk2cJaaFmefTANDL/Lxk6oD3xrzCLGyQ80R3+icgLMvC1tYWPvnkE9y+fRt//etfsbKyItnN2r7jPzoipGho99FOY1SCDYw8z5PusjqaoYGqtSz36aPWfPHiBZ48eeJrT6edGZ5j1h0UxpXzbMKLOCjjHLPQmtAUM42q1Wrh1atXiMfj0h+GHJ0GLL9rerPmuTWfp0ljTToDfvtSg9wEG4v+dUYQ750/z8uEWQSZ1T0tNAg1gPRPSrPZxP7+PgKBAL766ivk83mJruhG7Cb3p1+u/r/mG4GhCQAM+1vrBkqm80K79PT0FKenp2i320ilUkIp6UlgZuRcJ1kIimYWM1cb6Od5htwjmA4FQ2IaLLot3aj7N+1EHYYDhnmFBA29YnJ22kzRNBD75vB3897nbectkiycJjS9Msp5S2i//6Zh5e3bt7GxsXHGvmKtcqfTEX6Q59P1ugz50WGo1Wq+xAfWNxNA4XAY+XxenBXP80Tj0dt2XRelUumMibAUvywcCAGcsZPOGzhqp2AwiI2NDWxubopzQHuN1WvaMeH3SGiTY2y329L3r91u+0Cjw3q6YRO5Rt2DRpcPcCPJUZpv0ivKrGzLG5lFY8q4GoNL8uvXr/H3v/8d2WxWoht6oxumVXHPEgKDW+CSe2ROo+M4qFarvi4LBCqznWOxmOz4zsbu1KKlUgmVSkV2eT9v6Z00YGalZScelLgoRTOt+OFlhc5EKpVCJBLB5uYmkskkdnZ2kM/nJQcvn8/j4cOHGAwGePnyJXq9Hu7evYtcLifAevToEf7xj3+g0Wjg+PgY3W5Xioq4xCYSCemfQ16SBLfWwFex+Wb5jqetPadC0UwjlecqonPv+v2+kMMsD2g0GrJjEqviyuWyLKHshhoMBvH8+XNUKhXRaDpcprlGdowAhttm6MaXV3U6ZjnBF0GZXAuyWst5M1cXEjGDmfUZtNuYXsVd6JvNphDbBI/pyZo5g/S2CT7t6Y5Kor3p8i5NeuPIauDtTooZ4qLTwWWTsV4eywbvbxNz8hGoOvqxlKvJtdOE4wrvl/FhMy0fuFiHeTO5dUm3jCfjvKOZg3AeIarzKukuKosaXltkWUgQLuXHJePA62pbSy5F5Mc0SU3T5Kpy7RwTYPG4SmCx7mXaMulnvZQmnKR9OIvvL6KWmrQ2uc4y1e7975LrGmaahCziPc1LLty9fxZL4buucV5a1iyuPc6xoybqEnTny6XCdrOQca8zjfu56rUXLbS56HKp7v3Tkklp2atox0k9p06UXWrBt8vCUTQ3bcBu2vNMQxYKhJPUQkvv8/rIQoFwKT9OuZZk9TiyXAavjyw14RVklkv+TTYtliD8f1n0Qb7Jmn1qy/G7qIlJkMLm37WMc23zuHGuc5HjZynnVSiO+24mOR7nXffcY69DKtc0BnvUJDkPnFe5r+tahnlVMbtnvE1m4pjoAvHLJJfOMiqid4O67Dm0zAocFz3/IpHoS5twyrLotuYiyEKF7Zby45SlJlzK3GUJwqXMXZYgXMrcZQnCpcxdliBcytxlCcKlzF2WIFzK3GUJwqXMXZYgXMrc5f8AuI8jupoQI3EAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:90/200: training loss 0.021246\n",
      "epoch:100/200: training loss 0.013711\n",
      "epoch:110/200: training loss 0.017492\n",
      "validation loss: 0.019058\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:120/200: training loss 0.020393\n",
      "epoch:130/200: training loss 0.020519\n",
      "epoch:140/200: training loss 0.015537\n",
      "validation loss: 0.026484\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:150/200: training loss 0.017830\n",
      "epoch:160/200: training loss 0.017770\n",
      "epoch:170/200: training loss 0.020470\n",
      "validation loss: 0.017254\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:180/200: training loss 0.018951\n",
      "epoch:190/200: training loss 0.021716\n",
      "train completed, total time: 466.27585434913635.\n"
     ]
    }
   ],
   "source": [
    "max_epochs = 200\n",
    "val_interval = 30\n",
    "epoch_loss_list = []\n",
    "val_epoch_loss_list = []\n",
    "print_every = 10\n",
    "\n",
    "scaler = GradScaler(\"cuda\")\n",
    "total_start = time.time()\n",
    "for epoch in range(max_epochs):\n",
    "    model.train()\n",
    "    epoch_loss = 0\n",
    "    for batch in train_loader:\n",
    "        images = batch[\"image\"].to(device)\n",
    "        optimizer.zero_grad(set_to_none=True)\n",
    "\n",
    "        with autocast(\"cuda\", enabled=False):\n",
    "            # Generate random noise\n",
    "            noise = torch.randn_like(images).to(device)\n",
    "\n",
    "            # Create timesteps\n",
    "            timesteps = torch.randint(\n",
    "                0, inferer.scheduler.num_train_timesteps, (images.shape[0],), device=images.device\n",
    "            ).long()\n",
    "\n",
    "            # Get model prediction\n",
    "            noise_pred = inferer(inputs=images, diffusion_model=model, noise=noise, timesteps=timesteps)\n",
    "\n",
    "            loss = F.mse_loss(noise_pred.float(), noise.float())\n",
    "\n",
    "        scaler.scale(loss).backward()\n",
    "        scaler.step(optimizer)\n",
    "        scaler.update()\n",
    "\n",
    "        epoch_loss += loss.item()\n",
    "\n",
    "    if epoch % print_every == 0:\n",
    "        msg = f\"epoch:{epoch:d}/{max_epochs:d}: training loss {np.mean(epoch_loss / len(train_loader)):4f}\"\n",
    "        print(msg)\n",
    "\n",
    "    epoch_loss_list.append(epoch_loss / len(train_loader))\n",
    "\n",
    "    if (epoch + 1) % val_interval == 0:\n",
    "        model.eval()\n",
    "        val_epoch_loss = 0\n",
    "        for batch in val_loader:\n",
    "            images = batch[\"image\"].to(device)\n",
    "            with torch.no_grad():\n",
    "                with autocast(\"cuda\", enabled=False):\n",
    "                    noise = torch.randn_like(images).to(device)\n",
    "                    timesteps = torch.randint(\n",
    "                        0, inferer.scheduler.num_train_timesteps, (images.shape[0],), device=images.device\n",
    "                    ).long()\n",
    "                    noise_pred = inferer(inputs=images, diffusion_model=model, noise=noise, timesteps=timesteps)\n",
    "                    val_loss = F.mse_loss(noise_pred.float(), noise.float())\n",
    "\n",
    "            val_epoch_loss += val_loss.item()\n",
    "        val_epoch_loss_list.append(val_epoch_loss / len(val_loader))\n",
    "        msg = f\"validation loss: {val_epoch_loss_list[-1]:4f}\"\n",
    "        print(msg)\n",
    "\n",
    "        # Sampling image during training\n",
    "        noise = torch.randn((1, 1, 64, 64))\n",
    "        noise = noise.to(device)\n",
    "        scheduler.set_timesteps(num_inference_steps=1000)\n",
    "        with autocast(\"cuda\", enabled=True):\n",
    "            image = inferer.sample(input_noise=noise, diffusion_model=model, scheduler=scheduler, verbose=False)\n",
    "\n",
    "        plt.figure(figsize=(2, 2))\n",
    "        plt.imshow(image[0, 0].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "        plt.tight_layout()\n",
    "        plt.axis(\"off\")\n",
    "        plt.show()\n",
    "\n",
    "total_time = time.time() - total_start\n",
    "print(f\"train completed, total time: {total_time}.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd2b79a4",
   "metadata": {},
   "source": [
    "## Train the ControlNet"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73524090-2924-4967-8774-45e795f45bb4",
   "metadata": {},
   "source": [
    "### Set up models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "06181aa6-1c4b-415d-9973-df6f44693935",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "# Create control net\n",
    "controlnet = ControlNet(\n",
    "    spatial_dims=2,\n",
    "    in_channels=1,\n",
    "    channels=(128, 256, 256),\n",
    "    attention_levels=(False, True, True),\n",
    "    num_res_blocks=1,\n",
    "    num_head_channels=256,\n",
    "    conditioning_embedding_num_channels=(16,),\n",
    ")\n",
    "# Copy weights from the DM to the controlnet\n",
    "controlnet.load_state_dict(model.state_dict(), strict=False)\n",
    "controlnet = controlnet.to(device)\n",
    "# Now, we freeze the parameters of the diffusion model.\n",
    "for p in model.parameters():\n",
    "    p.requires_grad = False\n",
    "optimizer = torch.optim.Adam(params=controlnet.parameters(), lr=2.5e-5)\n",
    "controlnet_inferer = ControlNetDiffusionInferer(scheduler)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94d2e5e7-8633-4d1d-a323-7e74c963641c",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Run ControlNet training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "78053aaf-2009-405b-904e-0e5d301018eb",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:0/150: training loss 0.015892\n",
      "epoch:10/150: training loss 0.019003\n",
      "epoch:20/150: training loss 0.023880\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "validation loss: 0.012547\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:30/150: training loss 0.016548\n",
      "epoch:40/150: training loss 0.014306\n",
      "validation loss: 0.014935\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:50/150: training loss 0.016530\n",
      "epoch:60/150: training loss 0.019910\n",
      "epoch:70/150: training loss 0.015304\n",
      "validation loss: 0.024789\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:80/150: training loss 0.019710\n",
      "epoch:90/150: training loss 0.015484\n",
      "validation loss: 0.017555\n"
     ]
    },
    {
     "data": {
      "image/png": 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A9JDNQM5TKBSwbNkyy/alS5fC4XDg1FNP3bWBf07Mnz8fr7/+uqXqs729fUDXvSfgcrn6RGePPvooGhsbLdva2tosv3u9XsycORNKKeRyOctrDocDy5cvx9lnn41Fixb10Xb3Zrz00kslo13mhSj9MbKU+8bj8T4EtCchP/NKKSxbtgwejwdf/OIXS+7vcrlw1lln4fHHHy/5NN7S0jJoY+0PLpcLDocDhUJBb9u4cSOeeOIJy37z588HANx7772W7fbq1ZF4jbsUcU+ZMgW//e1vce655+KAAw6wVE6+9tprePTRR7Uf8+CDD8aiRYuwfPlyxGIxzJs3D2+88QZ+85vf4Mwzz8SJJ564y4O97rrr8NBDD+GUU07B9773PYRCISxfvhwNDQ14//33dzr2yspK/Md//AcikQhCoRCOOOKIPvoW0KO/nnjiifjxj3+MjRs34uCDD8YLL7yAP/7xj7jqqqssicihwHXXXYeHH34YX/7yl3HFFVcgFArh/vvvx8SJE9He3r5LTxO7gwULFmDJkiW4+OKLcfTRR+ODDz7AI4880kcPPfnkkzFmzBgcc8wxGD16ND7++GMsW7YMp59+esmkttPpxMMPP4wzzzwT55xzDp555hmcdNJJg3otIwFXXHEFuru78dWvfhUzZszQ35//+Z//waRJk7RuevLJJ8Pr9eKMM87AZZddhmQyiV/96lcYNWqUjsr3JPx+P5577jksWrQIRxxxBJ599lk8/fTTuP766/vkRyRuvfVWvPTSSzjiiCPwrW99CzNnzkR7ezvefvttvPjii2hvb9/jY90RTj/9dNxxxx045ZRT8PWvfx3bt2/HPffcg6lTp1p44tBDD8VZZ52FO++8E21tbTjyyCPxyiuv6KcM+b0aade4Sz5u4tNPP1Xf+ta31KRJk5TX61WRSEQdc8wx6u6771bpdFrvl8vl1E033aT2228/5fF41IQJE9SPfvQjyz5K9diBTj/99D7nsVv6lFLq/fffV/PmzVN+v1+NGzdO3XzzzeqBBx7YqR1QKaX++Mc/qpkzZyq3222xBtrtgEop1dnZqb7//e+rsWPHKo/Ho6ZNm6Zuv/12iz1JqR5r1OLFi/uMvT+Lk90OONDrfuedd9Rxxx2nfD6fGj9+vPrXf/1X9e///u8KgGpubu5zDIlFixapUChU8jyl7Hv2caXTaXX11Ver+vp6FQgE1DHHHKNef/31PuO877771PHHH69qamqUz+dTU6ZMUddee62Kx+N6H7uPW6ke69a8efNUOBxWq1at2uG17A149tln1Te/+U01Y8YMFQ6HldfrVVOnTlVXXHGF2rZtm2XfJ598Uh100EHK7/erSZMmqZ///Ofq17/+9YA/S6U+nxs2bFAA1O2336638TOybt06dfLJJ6tgMKhGjx6tbrjhhj5WUNisckoptW3bNrV48WI1YcIE5fF41JgxY9QXv/hFtXz58p3ej/6+K2+++aZlv1KfHTl2iQceeEBNmzZN+Xw+NWPGDLVixQr9fomuri61ePFiVV1drcLhsDrzzDPV6tWrFQB166237rFr3NNwKFUG2T+Dkrjqqqtw3333IZlMmnJ6g8+Fiy66CI899hiSyeRwD2XY8e677+KQQw7Bww8/vMetxnsKprNLmcDedbGtrQ0PPfQQjj32WEPaBga7iVLdTO+88044nU4cf/zxwzCigWGXuwMaDA+OOuoonHDCCTjggAOwbds2PPDAA0gkEvjJT34y3EMzMChb3HbbbXjrrbdw4oknwu1249lnn8Wzzz6Lb3/723384iMJhrjLBKeddhoee+wxLF++HA6HA1/4whfwwAMPjOiowMBgpOPoo4/G//7v/+Lmm29GMpnExIkTceONN+LHP/7xcA9thzAat4GBgUGZwWjcBgYGBmUGQ9wGBgYGZQZD3AYGBgZlhgEnJwe7Os/AgBipaRe3u+frUiwWdzhGh8MxYq/BYOTC6XTqZRTT6fQO9zWuEgODAWKgC0ob0jbYHSilkM/nBxQkG+I2MBggDCEbDCaUUgMODozGbWBgYDBCMNDgwBC3gYGBwQjCQMjbELeBgYFBmcEQt4GBgUGZwRC3gYGBQZnBELeBgYFBmcEQt4GBgUGZwRC3gYGBQZnBELeBgYFBmcEQt4GBgUGZwRC3gcEAYRqtGYwUGOI2MNgFGPI2GAkwxG1gYGBQZjDdAQ0MBgjTHdBgpMBE3AYGBgZlBkPcBgYGBmUGQ9wGBgYGZQZD3AYGBgZlBkPcBgYGBmUGQ9wGBgYGZQZD3AYGBgZlBkPcBgZ7KUyV594LU4BjYLCXwl4w5HA44HA44HK54PP5AADpdBr5fF6/Xup9BiMPhrgNDPYS2CNsEjC3O51OOJ1O+Hw+VFRUwOFwoKOjQxP3rp5noATf37h251gGPdgniNvhcGD06NGora3d4X7ZbBaNjY3o6ura7XP5fD6MGzcOwWCwz2v5fB7btm1DR0fHbh/fwKAUSski3MZI2+PxwO12IxAIIBQKwel0QikFv9+PfD6PTCYDpRQKhUIfIi0Wizs8F6GUgsvlQjgchsfj0ZNFLpdDZ2cn8vm85f2GsHcP+wRxezwenH322Tj33HPhdPYv62/ZsgW33XYb3nrrrd0+V319Pa699locdNBBfV7r6urC3XffjT/96U+7fXwDAztIzA6Ho6Q84nK54HQ6UVlZiXA4jHA4jPr6evh8Pv16a2srPvvsM2QyGXR1dWmCdTgcKBQKyGQyKBaLmohJ8PL8QA8RV1ZW4thjj8WYMWP0eJqbm/Haa68hkUjA5XLB5XIhn88jnU4b8t4NlD1xO51OuFyuHe7j9/sxZcoUHHPMMTuMFtatW4eamhp4PJ7dHk9FRQUOOuggHH300X1eSyQSePzxx+H1ei0f1nw+bz68BrsMe0TtcDh0YCK3ud1uOJ1O+P1+hMNhRKNRVFZWwufzwe/36897e3u7JlQei8RdKBRQLBb1JMDIWo6Fn+FgMIj6+no0NDSgWCzq7YFAAKlUCm63G263Gw6HA9ls1rLPrl7/vvq9KXvinj17Nk4//fSS0gTh8Xhw1FFH7TTLXl1djQsuuADHHXfcbo+nrq4OEydOLPmaz+fDggULMH78eL0tkUjgySefxOrVq3f7nAb7JkjIhM/nw7Rp01BVVYXq6mrU1NSgWCwikUggn8/D6/XC4/HA4/EgHA7D7XbD6/XC7e6hgUKhgGw2i1gshkwmg2AwiGAwqEmc5O/z+eDxeOD3+wH0fIYzmYwm+GAwiLq6Ong8Hk3048ePxwknnIDu7m49CSQSCTQ1NSGdTqOtrQ3d3d1QSllkGTs4mUjC3hfJ26EGeNUj1Vp03nnnYenSpairq9vhfvyD7wy7O/tL7OgJwH78zZs3Y/HixXj22Wc/1zn3JozUL+JI+w4wWibZRaNRnHzyyZg8eTImTZqE6dOnI5PJYPPmzeju7kYmk0Eul7PIHNS9k8kkOjo6kM1m0d7ejkwmg8rKSlRXV8Pr9SISicDj8SASiSAUCiEYDKK2thbFYhFbt25FLBZDPp9HNpsF0JsI9Xg8+gkzn8+jWCzqsbS0tGDNmjXo7OzEmjVr0NbWhmKxqIndDj49OBwO/T3iDzByPze7g51dS1lF3JWVlZg+fToCgYDeNmvWLAQCgZ3KJQPFjjTwwTh+KBTCnDlzkEql9LZkMonVq1ejs7NTb6uqqsL06dN1lAP06IZr167dZVeAQfnC5/OhsrISHo8HwWAQXq8XxWIRxWIRoVAIkUgEXq8XuVwOra2tmkztCUepSReLRbjdbkQiEeRyOa1p+3w+i0Tidrt1BA1A6948frFY7JN4ZBRfCh6PBxUVFXC73aitrYXL5UI6nUZ3d7dlv3w+30e+4fHlv6WCrr2JzCXKKuI+4ogjcPPNN2PSpEl6WyQSQV1d3R4j7qFGPp/H9u3bLU6Wjz/+GD/+8Y/x4Ycf6m3HHnssbrrpJkyYMEFve+KJJ3DLLbcgHo8P6ZgHGyP1yzac3wFGsKNGjcLhhx+OaDSKSCSCQCCAQqGAXC4Ht9uN0aNHIxQKIZ1OI5VKaTfJjgISpRQCgQAikQiKxSLi8TgymQw6OzuRSCQQCAQwduxYBAIBBINB+P1+Henm83l0dHSgu7tbj1Fq7ZRPnE4nvF4vAOiImxNONptFU1MTEokEWltb0dTUBIfDAb/fD4fDgVgs1uczTpKWSdlcLmeJ1OWTRbmhbCNup9OJYDBoIeS6ujpMnjwZU6ZMGcaR7Vm43W6MHTvWsi2dTqOurg4VFRV6G69dTloTJkxAVVVVyeMWCgV0d3fvUC80GNmg1EBC5HeioqIClZWVmriLxSJyuZz2aDscDm2/c7lcCIVCcLlcloSljFpJgJRd/H4/nE4nUqlUv9Ihz8louFAo9Dku98vn83C5XHofEjavz+12IxwOw+l0IpvN6idNjiObzeqoXUbZHLfL5YJSCplMRssx8glgpAYCnwcjNuIeN24cLrzwQkydOlVvq6+vxzHHHINoNDqkYxlqtLe349VXX0Vra6veNm7cOBx99NGIRCJ629q1a7Fq1aqSj6IbNmzAgw8+iC1btgzJmPckRuoXbSi/A06nE9FoFIcccghqa2s1cXu9Xi2VhEIhXQFJ0vR6vXC5XEgkEmhvb4fb7dYBkJQ9OCFI5wkjYpJ1IpFAPB6H1+tFTU0NvF4vQqEQAoGAjmYLhQKSySQymQy8Xi/8fr8OGuiWkhIKI+N8Pq8dYUoppNNpFItFLZXk83mkUinLMaSDjGPkmAqFAhKJBNLpNJqamtDY2KgngXKUEss24q6qqsLChQtx5JFHDvdQhhzV1dVYuHDhTvebOnWqZWKTeOONN/Dkk0+WJXEb9BBxMBjEzJkzMXHiRE3c2WwWiURCR5tAb2ROEmZEC0D/3+FwIJ/PI5fLaR81AB2J8zWSv9PptLhOGDkzmiW4X7FY1PbCfD7fxwtOWYWEz/Fx8ohEIhaZJZ1Oo7W1FZlMRks01NllcjIYDKKyshKFQgEtLS3o6uqC2+1GLBaD0+n8XMV0IxkjjrinTp2KQw45BPvttx9qamqGezhli5qaGpx66qmYPn063nvvPXz66afDPSSDASISiaCmpga1tbU6CmZ0K6NHEiH90BK0/0ndmSQN9FQJy+Ic/vBcJFZG5pwA7LKIdHZwDHzd7XZbXB8S0mIoE45yYggEAvB6vQgEApakPNCb5Hc6nTrxSpNCQ0MDvF4v0um0dsh0dnYimUwilUqhvb3dMo6R+oS3I4w44j7uuOPwL//yL6ioqLDIAga7hoaGBvzgBz9AIpHALbfcgjVr1pTlB3RfRF1dHQ4++GBEIhGEw2EtL0hCJVlTRpCuEZIYPdgkRVn0kkwmUSgUtBecBAkAuVxOj4VSDDXtbDZrkW14PmrM3d3dekLwer2a6O3WPRI3nxS4nZo5Kz15HB6LSU1OONTzHQ4HKioq4HK5MGHCBHg8HuRyOZ1oXbduHRobG7F161bta5f6eKlc0Ej+vowI4na5XKiurkYwGMS4ceMwatSoHRbUGOwcbrcbVVVV8Pv9GDduHBoaGkp+EDs7O9HR0TGiP6R7MyR5EcFgUPulZXK+VPRK0imVRLSXwZPw+D75/h1FxnJ/OUnI6L9UYtJ+PFZcckz22gr7+6hp2x0xfL/UznlsoIdP/H4/3G438vm89p/zp6KiAqlUyiITsU+L3TI5Ur8XIyI5WV1djcWLF+Ooo45CQ0MDpk+fXrb2vpGGQqGATz/9FJs2bSr5IXzuuedw//339/HODidG7JdlEL4Do0aNwgEHHACPx4NUKoVcLoeGhgbMmDFDVzlKZ4XUiglKGAA00Xm9Xvh8vn73t0fBbD4lyZdaOCN+ADr6lSTHhKjU1RkZS0IvRdKcNKifE3TI2H3bHDcdJNThpVvG7/frBCqfVOLxODo7O9Hd3Y22tjbkcjnEYjGkUim0traisbERuVwOmUxGj5Xa/XBYCkdsclL+EQOBAA499FCceuqpwzWcvRYulwsHHHAADjjggJKvNzY29on4Ripx7o0IBoMYO3Ys/H4/Ojs7kclkUFNTg2g0anGCALAQLWCNchmVUg6RUSrJ0d7hz57ILBV123Vs6uz8l8lJ6VKR1ZlS0pAaO9CrpUu5R2rt9v3k9VC2kZODHKe8DqWUjrqZzMzlcmhubkYikUAul8P27dv7yCW8jyPRCz7kxO3xeHD88cdbuudVVFTsVd7scsLs2bNx+eWXI51OA+j5Uvztb3/DG2+8YTzggwiSTSgUwoQJExAKhdDV1YVsNotAIKD/HkCvnNGfrCAdJhIyIgZ6EpKyApGROqNSu1NFkp/8XZbL2x0jUnqxj8VuC+T5JFnzWGwF63Q6dTQuCVo2vpK6O62OnJT4Xl6jfB/7rdTU1OhJgGNn0Q/vz0jDkBO3z+fDV77yFVx66aV6Gy1IBkOPuXPnYs6cOZbk0M9//nP8/e9/N8Q9iCBhRSIR7LfffohGo/rxP5FIoK2tzbI/ZQtZVGKvHrQTO3VkukskyfH81Hf5f0bQ9i6DUrqUXnB71aLUyyVJk0jtujEnBMoSuVxOEzZfJ3lK2YSELMcfCATg8Xh0QpVOFz4hSGcO7YuUZKLRqKVac/Xq1SO68duwSCUej8fSb8Rg+CA9vUBPNDVhwgTMmTMHsVhM92g2+HyQhOVwOFBTU4OKigqMHj1aEyUjRrfbrfVpSYTS8kcitoPkKKNeu+VOSinUiOX5pUWQ+/NHJiTt0oe98ZOMwIG+K99wHPJfHr9UEykW4fBYMhlJMBpnPqCUzMFzy+6FBKUmSiqZTEa3uuXEOhIwIlwlBiMHLpcLCxcuxNy5c/H222/jlltuwcaNG4d7WHsFSN5utxvHHnssjj76aN0mVSYQ2TyKzZ7y+TxisRhisRg8Ho9F/7YnGWU0yXat9uZQbM9K8qK2TCImaTNSZRQuHRjUfktJHQD0uPgvo32gN4EqJw3pF5eyHf+1JzP5O3t7S+mHvVBkwY58AgGgNW+3261tjLLic/To0YhEIsjn80gmk8hms1i/fj2ampoG/XMyEBjiNuiD+vp61NfXI51Oo7KyEn6/X2uEBrsHGXE7nU7U1dVhypQpKBQKfVaBYdRLYgZ6E3J2WaSUXc9ObnYZRZIt3RMyeSijc1lsIwmQyUR7xC3/b4+67V5zGenKiUOiP82cr3HykZG9lG14nfb7S3mWi0hQQkmn01oy4eTpdruRzWZ1Hxh5v4cLhrgN+sXEiRNx5ZVXorGxEU8//TRWrVo13EMqC5Ty/9pljUAggIqKCnR1dekkGJNm0rnBiLtQKOg8UDwe10RLmYCEwkiaUahSCqlUShNYKBSCw+Gw9C2xW28lUZPUpbwgE4TUtxntM5EniV4mFjkxkDxlNG6XYqTEwrHyHkg7YCkS5YTHEn8eQ04W8inH7/dbWgNkMhmk02ndFpdPAezFwmseLhjiNugX48ePx0UXXYR4PI7PPvvMEPcuYGfFG36/H9FoVNvauIIMI2s2XZJuB1YPJpNJKKUspeAkZimRANCeZ6A3tyRL5ymj2O2CPKacGKQuzLFKx0Ymk9F95emtJsFTt7dr2tJmCEBLM/LJwd4TXD4NyKIeec3y6cb+Oq+Fx+XYeD+KxZ7VeSjt8O/DRC+bZBniNhix4CPlrFmzcMopp6C5uRn/+Mc/+m2Ob9CDHX2pSSbSgmd/nC/1HpId+2HL9SJLOUukV1tKFHaftyQ5+T57VC2JXUoYMgKVzatkHxG7DZDELHVykikloVLyCZc3kzq93bddyhrJ6ytF8HyiAWCRc1hoFI1GdR7C6/UimUxi+/btfYqGhhKGuA12ikAggPPPPx8LFy7EM888gxtvvBEtLS3DPawRix0RsCzqKPW4L7VmSTJMwgHQcoesbJQ9TEhsfE2OiXKA7DNiT0DyvKyAZItVqRlzfz4VZDIZuN1u/QTAiJvSid2nLZ8uSMLUklmOzuQhr6WrqwvNzc0oFAqora1FVVUVstmsrvrlfStVVFRKVuLEk06n+wQiXJczGAzqtrFjx45FLpfD5s2bdRXm7hD3zp7GBgJD3AY7Be1rNTU1GD9+POrq6nTrThN57x7ogLBHwPZEnHSCMGK0W+nsCTP7v0DfKFSSV6niHruNTyYXKS/YbX52ex8A7T0vNX55L2TCtNR18ngyYdtfrxM7+ktsShmGx5THk04cXkOhUNA9yeVTw1DDELfBLmHOnDm4+eabsXXrVqxYsQJvv/32cA9pxGFHzgOSUTqd1klJyh2xWAxdXV2WKDgQCGjCsBOWTLiRSO29P2RBjSQlkjALVOjMAGCRRWjXkwUwUiMGevR6uZwZI2Sns2fFHh6bExVXvZE9wLlWJqUSRvK8bm4LhUJa75YSh7wm6biRcpEE75W8Tlmc43a7LWQun2BGjRqFI488El1dXfjggw+wffv2PnLNjrAntHFD3Aa7hIkTJ2LixInYsmULXnjhBUPcuwiSCiUBoDcJmMvlLGs3Ar0NnChZ2MnILl/IPiFcMsxeCQn0RtFMjgLQkg1Xgw8EAlqescsMPIfD4dAJ0VL6tN/v11JDKpWCUgo+n0/7x1nJGQ6HddER7w+7VrKaErC6P6QeDaDP/ZCwP0EAvdE7ZRRKO/beKLxuXhc7DCaTSWzatAmtra39WhYHC4a4DQyGGCTHzs5Oi9siGo3C4/Hox2+Xy6VXfrFHzIC16pXkS3KRzabsmjkJm+Qki2vksTlWoKdVhT05yei2VEQvz0PClgU1sniIspF8ipAyknSy8NzymuQ9k4lP+VTAKF+CeQLpsuH1ALBE81JW4aTpcDgQDodRU1OD7u5uvVbmUMAQt4HBHobUfOXv8vVkMom2tjYtJTidPSu4OxwOpFIpvSCB3+/XfUEY1bJlKqPxVCqlo3f266AkYdedSWZMNrJNK4A+0gDQq+2yRYWUBGT0T+KXbWBZBUmPtnwqYIRKApSyCOUKmUiltELNnOOQpE7rJF/jOADo1enlBMb/c3Lh/ea125tLSWmF+3CVLi6bNlQuE0PcBrsFt9uN+vp6TJ06FbFYDG1tbcNeTVYuIBmxbzQXTCDZkIBoEbR7kmV0a7/nspqR/0oSllHojsbHaLSU5MAx2OUXRvfSi91fMlIei6TPqFaOz25vlO4UeXygNxEqI3O5ryRVe2KX+5VKUspkLccrtXFOlkMJQ9wGu4WqqiosXrwY5557Lv7whz/g/vvvt7QiNSi9Agz7c4wbNw4HH3wwQqEQ6urqoJRCY2Mj4vE4isWijrhZvEJCdrlcWgvOZDK6cIek1dnZqZNrjEZ5brmMmJRZ2BVQ2vw4uXg8Ht3/QxadsIqRJEYyp6RCrZjHkBExI25JxIxupSwktXy+LkvUZfLVnmyVvb5Juvx82iUY6Rjh/ePSb2xJIJ03sjApGo1qbzefCoYi6jbEbbBb8Pl8uqf6Rx991CcyMygNkm80GkVNTQ0ikQjq6upQKBTQ1tamdVJqvpIs7ZGldGrwNUmQUjPmManlkgClrGAnJiY27XZAORZJ3FKO4fk5gUhPt/RvkwBllMyxyc+UnejlBEKpSVoUCUb+MmKWx7J7qkn8cqFjez9wnhfo7XVuX4xksGGI28BgiCDdHkxmMbHndrtRUVGBYrGnwT9Lq5PJpF5SS7bXZeFILpezdNkLBoO6GRLJSbpRSIokOFkxyMgTgCWRJ5dFY4k8CROAdn2wspDjI4FL257T6bQ8CXAc/TW4KuVJ5znl04jU02VbXFY/2uUZjoXnlclgyiodHR0AYBmPjM7z+TxaWlqQTCYRi8X6uFwGE4a4DQyGCNIxkUqlEI/HdXLS5XLpVcojkQiqqqrQ1dWFDRs26ORZPB63HI8RNH3UJEX5Gs8HQCf5GD3bE3nUpu2WQZmQ8/l82gUj5Zl0Om3ReSm3MLomkfOJg2TJKNxuWZRPE/L+2SUReT0k7lAoZElEltLOAavWznPzGjo6OhCLxeB2uxGJRPQEyEmQk2lzczPa29vR2dlpiNvAYG+EfJSWhTF8jYkuklqxWNS9tyXB8ofebvb0lu+zk6SUGfobmyRw+XRAEgWs1YSMPNPpNNLptH4f5Qlq5nZrYal7IjVtvh/olUjs75f7SgukfGrgfvIeyIlMHlNeE9DbYoBuHiaGeQ94zIqKCj3OeDxuiNvAoFxhJxpJmvy/3+9HOBzWq5EDPYmuSCSCrq4uuN1uhEIhBINB5HI5tLe3o6OjQ2vY+XxeR7o+nw+hUAhKKcTjcctK5TyXvdJQWgPluJVS2iooXRYcYzqd1kUwjEBjsRi6u7t1Xw8ZtdOGt6N7ZU+MUv7gZCDvn5zEONlRDgF629qyupJPB3KyS6VSWhqRmrUk+VAoBKCHwO3Vq5SmgB47YD6fx4cffojm5ua92w6YyWSQTCa1ljeUor6BwVDDbjsDeiNuGenyd+q0UlKQK6vT4UEJgvIFpQ6ek9GuXCGGRGgfj92uJ4tkuI3JUo6FunY2m9VjlsugAbBMFna9mmOUUgX/L9vGch97dG53n8jIvpTfnL9Lrdoe6cu/D69FRuy8nyRur9eLYrG4w8lpMDDkxJ3JZPCHP/wBa9aswZw5c3DOOecgGo0O9TAMDAYNpQpu7FotiTeVSiGRSMDj8Wi92+PxoLKyUkfVuVwOkUgEHo8HnZ2daG9vRzqdhtPZszCCtP7JSktGp7JHiEzWKaUsy3xxf2rXPp8PXq8XmUwGHR0dyOVy8Pl8+imB5J1KpSwL/AK9E0FXVxcSiYTuIy6JX0bYkUhET0DsGc7lxDgOAJbJDuhdDIHRtNSZqUvL3imUl5Tq6WfOJCaLdeLxuNbrORHIfuZ2bzuXNeNTylBhyIk7l8vhlVdewSuvvIKvfvWrOP300w1xG+z1KJVkY5+QZDKpE4ckM5/PZ1lQIRgMakLj4z4dJExKkmz5O49B4uSkQMiomZEk0JugC4fDCIfD6O7uRjKZ1I4XRpdMPNoJTUb06XQaXV1dSKVSaGlpsawsQ9L2er2oq6vTScVgMKgTkLxfUlKxR89MwtqJm0lEh6O3nwplJl6nbI4FAKlUCslkEpFIREtCXFpOrt0p9f3u7u4+y88NNoacuN1uN2bOnIlJkybh8MMPH/JHDAOD4QRJjYQlbXHUdEkMlCfYZIrNn0jK9tXNAavHmyQlC2ToT5YVgtLFwfNxXxKbjOwBWFY9d7lcuiGVLLMHYFldpqamRk9G9t4qJF5pF7SX+0sNWl6TLMSRsge3cRw8djAYBNDr8aYsxMmNKwsFg0FL0RKvT/59GLHv9ZWTPp8P//zP/4xvfOMbCAaDOitrYLC3Q5KK1+vVq7kDPZEjXQkyYcYotLOzE21tbUin05aufXbdmOTFlctl4QyTdbL7HcdD4nI4HAgGgzo5WllZiUAgoCcOEh3lExmFy0ibUSwXSIhGoxgzZgyAHvmEHnROVul0GolEQicV/X4/ampq9MQhxwr09i2XhUY8t5xAqFNTopGLPXCyok5fLBZ1r+1oNIpoNKplkkKhoJPJ1P6dzp5OgYFAQPdyGSoMOXE7HA5UVlZi/PjxQ31qA4Nhhz2xBlib+ts79FGTlr5sRp52X7K9qlFWNMpIGoCOHOXx+V5GuLJ6kmRHguPxC4VCnypMHocRLo8lo1K6XGTzqFwup4leyhI8tkyg2hOVPCb/lTq/TNTK95ayBXJ/jkEmR0t53O0WRWMHNDAoU/TnOyaRsXuffaVwEgGjZYfDgY6ODjidTt09j5o0o2PCbuuTEwSLc6iTM/KmBsxugYlEAkDvAsLBYFCTe21tLQqFAtrb25FIJLQEQpdLNpvVZOZyuVBTUwOfz4doNIqKigrL9VIT9vv9uriFpJhMJpFIJCwJQ2kRJNnK99g92LyXACydCfl0w78Nn1oovfCHTyd2HzqtmEzI5vN5LfukUimL/3ywYYjbwGCQIaND6fawe6qlNk2ZQ5KSlAmknU2WdJc6N6NeThper9dS2AP0uCOoj5P0KTfwvcViEV1dXRabYbFY1MRFYmV07nK5EA6HNemT7ChhRKNRjB49Whceud1ubNu2DVu2bEE2m9VJVerTstrTngcAevuF0GMu7wlzAqWKeOQCEIT0lvM80g1EiYfL99FVIz3jgwlD3AYGgww+5kt/MZNkdImQfEmEsjEU0EsylBXskI/xJN1oNKqjfGm9k4ss0BIXDocRjUYtkgCJXnq62Xkwn89bCDmXy8Hr9Wr3Rjgc1sUrPp9PJ1aljU9607u6uuBwOLRHnRqyLJKRFj0+FUgNnz/2roC8P7w3Un6Rfx+5nYlXOUnK7ob0rsteJXbpZDBhiNvAYBDQn5ebRODz+RCJRHSzKXsrUr7Hvq4iAEtCU0aVUseORCKorKwsaZ2TMkB1dTUqKytLHoO/53I5dHV1aXKORqMWhwf3q6qqwujRowFAE3AymdQrosuKTEau9FRTCqIvWj5RyKpGTkIcI48hJzw5yciJj5NOqcQuo3Her+7ubnR1dcHj8ehqUNowpQd/y5YtaGlp0U8c8j4OJokb4jbYJXR2dqKpqcmS2GlqahpSD2s5QkaEJC4+YssqQdnUSRI9sTNCsNvhZHUgy7xl0lBGsXx/qYpEyhB8SrAn/hyOnmW86MGmPp3JZPR5qK8zoclScqA3AieRy6iZ4yp1P/n/UvvIakqCpCv3p4OmWCzqpwfpoQ+FQhaZSzpaSk229nEMBgxxG+wS/v73v+POO+9EW1ub3tbU1GRpObqvo1S0LR/DmeTbsmWL/l3+KwmbxE7Yi1Dk/vYyem5jNSUJxev1IhwOWyJY2alPVh7SCUK7m9fr7ROhU7aQzZhYUCSrEOmf5n5dXV1obW3VsgOrOEmGXHBBjoMaucwLSPeM9HLb/wasxmxpadFWRY/Hg4aGBsycOROZTAarV69Gd3c34vE4mpqaEI1GUV1drSNvr9erk6u8Fo/H02eZs8GGIW6DXUJ7ezvefvttNDc3D2kby70FJFpWTMrI2E7aMqKTFr/+om67xirJjGTpdDq1ps3oUUaQUhemk4OkLJOW8vgkfwkpb/D9HAMrPtva2hCLxfTkZO9rIp827NZJntv+RCL3lQldPiHmcjldSk/Jik8L7JvE4qJUKqV7kciIWyYreZ6hhiFug13CzJkz8f3vfx9bt27FU089hdWrVw/3kEY87ElDl8uF9vZ2bNy4EcFgENXV1Zaud/I99vcDfV0oskKQiTPa8Lxer656tHub5fnsSVKej2QmSUqSaKnolscrFotaE+cY+a9cOg2A7lVCbZmFPdSfeT6ZwGWys1QOgJMJLY28VpfLpR0hrMxMJBJ4++23kU6n8cknn+gujNS2t27dCrfbrSeY7u5udHR0IJ1OIx6Pa2eJXboZTBjiNtglzJgxA/vvvz+2bNmC1atXG+LeBUhZIRaLYdOmTaiurobf79cJR6lP298LWKUSANo3zcgwk8lo7zKJmwTFcwN9NWK55BmJm+Rnt8ntDFL/pTOFY5QTjiyYCYfDAKAthoyG7ToyE5GdnZ062WmPuKPRqD4nF/Lldch+JZxIEokENm7ciFQqhc2bNyOZTKKurg61tbXI5/M6p8OfdDqNWCyGfD6vm1LZJ4/BhiFug10CH3+DwSBmz56NWCyGpqYmbNiwYciKD8oRMinpdDrR0dGBpqYm5HI5XdYuqwYZbcoI2F4YYo94pfealYmllgSTsoi0vPEYPC/JnO4Ne9LTvkCCHK89acdtALTrg10JSdYsiuG1EzwWJwLq8ZQs+nPdyDHx2rxeLyKRiMXFw0Ihr9eLmpoaXfLu9/sthE2kUikA0E4YRvFDuVi2IW6D3QJXeV+0aBEeeeQR/Nu//Zv+QBtYIeUIVtqtWbMGjY2NGD16NBKJBMLhMMaOHYuKigr4/X7tcrC7TqhLsxJQyh6MslkZmUqloJRCJBLRGjUALTXIRRlImjwnI0tJ4gC0G4USjCyMkT9MLEpbHiN63oNisah93hwHO/KRZKXMQcJm3xAmMmVzLNoXKaOwmRUTsR6PB+FwGPl8Hu3t7Ugmk6ipqcHYsWORz+cxZswY3ZNFrkIkx5pMJtHa2opMJoPt27cjmUyira0NTU1NQ/aZGhbi5vp5tAQNhX3GYM/C7XbrfjOjRo0yf8MBQEa61EVJBA6HQ5eB0zJXKlFp16ZLRdyUCWQSz/73kVGs7BTIcZIoSeqyylMm52SELZ0x8tj8IemyYZXU2zneUg2i5Hhoa2THwUKhYOkAyGvgvgAsY6VDRT65sFCI18uFmjm58Z7I1XzS6bS2ESql0NnZOejebYlhWUjh8ccfx0cffYQvfOELOP/8802HQIN9DtL6RyLhEmCRSERLFNSUpTOD2iwTfPK1UCikFyOgvssImMfjYsWyelG6Szg2krYkO0adQF/JgFIK/dCyEEZOIrJHCK+P8ojf79fWQykvUaqQSUbplAF6E6ey5S395FyUgpE3j8MmW0yI8tiSgNn5kGQfDAYxZswY5PN5hMNhrXFv2bJlyLTuYVlIYeXKlVi5ciXa29vx1a9+1RC3wV4FGbnat8uIUBKF0+lEMpnUREUiZgRu73hn15rpm6ZWzoQnLX0yKmfUK0lb+rhJqHydbVvZWCoQCCCbzVpaskr5RkowsrpT9tSW90PKHFxDUlZCytyJfNLge+yuG7pKeJ1S/pHFRDwGr4ETi9TvZd5A6vAsNOK9aG5u1rLRUMBo3AafG9OmTcNZZ52Fbdu24e9//zva29uHe0jDip09LtM3HAgEEA6HtQZMomVPaNneVNr5ZJKPINEwspZea4JEy4IXOXlIr7hsZsXxMuKVvnJG4SR9OyHLsnm77COTrhy3jK6lTl6qHQDHKX+Xk2KpJwkeX0pDcmxyErAnU+X+dpeNXAlevjaYsokhboPPjXnz5uHQQw/Fhx9+iGuuuWafJ+7+ICO6uro6jBkzBn6/X9v3KisrdbOnyspKiwwgiZByBkvPZURIcqZEIiWDzs5OxONxi0xTSv/mNpImj8OIm0UrwWBQE6MkNWn1I7nK6LdUyTj1b7uuLvMC8sd+L+S4s9msJcHIffg7o2seQ8pPUu5hxM8EJxtoyb8l7wflGbsff7DIe9gWUgiFQqitrS3Z6cygvEA9taamZsiXcCpXlOoTIotTJBHaoziSAR0mQN8+HRKlvNgywrbDPknYz1vq+DKJKH8k7K9xYgCsyVJOFvbKXEniO7Ke9nffgN6WuPK+yQmE1yOjdRl5y14lcnKTktdQyCVDTtx+vx/nnXceTjvtNNTX1xt922CfQSmilB5r9soGoD3OXPxXkgijSSYiXa6+6zPaFwLg8mFc/EC2KJVkyJJ4WSpOLVj+MBJl5EpLH4ti7ElJe8c+SdKS5Lkwgxwbr0fuD1hXrZHghMiuhna7IrV83iu2HwBg0bc5Hl4T/x5KKV1lSu92NpvVTbNYUj+YGHLidrlcOOigg7BgwYKhPrXBIGJHEZlBacgufPaillJffJKdXG2Gx5Fl5DLClscmyZOMeQ7qy4wiSfSUcOyFN5RD5Go09E9L0rZbBu32Qf5IyUYSNicXGS1L4rZr6UBvQy+pt8vX7KTPJwUSsbQIyuZbMsq2Sy8yoSwtm4MJo3EbfG689957WLlyJTZt2oTm5ubhHs6IBqPi6upqjB8/XjtBqLMyGiTxUNKwW/eA3iQcPcesi5D+ZxmlSnlAtnUl8fDc0v0hbXcOh0O3PZWRKycNufgAnwpkxG0vbOHYOCb+sAhHyi+8BqmjE3J7f/KPlH5oAeQ9pCVTXgv3pQWSfxM5DpkE5lOKSU4alA1ef/113HDDDboJvkH/oHVv1KhRmDx5suXLz1ViuB/QW0hCYt0RcfN9jKylzc9eQGNfFYfd8KT+y7HKJGkymbRMBEzQcVUcTi7pdNrivZbEbY+8CRIfi1zYq6SrqwuZTMYiK8kImChF6vZjAz05GU489smHPcPZ84V9VOw2Tt4Ptoa1E7eJuA1GPNgqcyh7NZQrpCRht5DJR37KF4xu7bIIjyV7abCniOxUV2rFdEK6QaQMwkhXjo0ER2K2SzUcK8vQ0+m0pb+3lDlKRcb2sdllDRmBc+xSgpEFMoB1wYlSZG4n/FL3Rx5LntPufHE4rEuuDYVkaIjbwGCIoJTSurFMdDEyZdTGlhBOp1OvIEPnjiTWdDptWVSY3feSyaRe/5GFKOwvIhs4seCFx5Sl40yIMnJmJaR0kEgZh+TFZdjk05d9opLdEAkZSct2rZwQ6E/nGOWq9+l0Wh+X52AhEK/NTqpyApC5AU6SlIikr5xFRSw+yuVy6OjoQCqVQktLi17ceK90lRgY7MuwR6r2iJESCUve2fiJ3ulSrgcSC0nFHq2ysx/tbNwuI1gpQ8jFhAFozVoWCdmjXYfDoeUWPoFxXNSKKbtQY+4vMt1RUlNel5SKeP+oV8seLPLe28/LsfOa7JKSnKRkUpVFTIlEAslkEslkUktSJuI2MNhLIF0eTHKlUilt5SMY1XKZL5Inl/biMSTJkJz5fxI+9Vfuz3NLaYBkJ8mLbo5MJqPblXZ0dCCbzepGS9JRQVJLpVJIJpMoFAq6FwrHy8gY6CHmQCCgF9wFent/EyR6j8fTx0kitW15/+z3pVAo6CcSKVHxPPbe5DInICcE3kMmcylJAT1PSawalU6awYYhbgODIYKMqtk2leTKhBijYr/fb4kQpWWPxERnCKNt++Rgb7YktWy/329xWpCYSNjUq0musVjMsh6k9GPLrn+UVFjByfPJCkQpw8Tjce30IFmTiKnN83c5Sdjvp7xX0qJHeUNq+Hyi4DmZF5AJy2Qyia6uLrjdblRUVOgEpEwkF4tF3VtFyiz2v/lgELkhbgODIYIkF7tX2O4Tlj5jkgKbJLFbnYwi7Y2opEecE4PsKmhPEEp7XiKRQCaTQWtrK1paWpBOp7V2LcdLsuvu7tbkzQlGXrOUFwDoAhXKDbwO6b3m+/orPpL3TEoifK90rJSqAuU1l6qcpLOF91IuqMz9+ffbmf1vsKJvQ9wGBkMAfoFlhzp2mKOEQKJghO1yuRAKheBy9aywwkRlZWUl3G63Xr5LVl3yh0k8l6tntSJGlyQhu+eY8kY6ncaWLVsQj8exadMmrF+/Xlv+nE4nOjs7tXxBOaStrU3LPpQTuDK6XRdWqqeFqrTNSemGEbff70cwGLRYITOZDNrb21EsFvVkxIV9gd6KSalvy6SnLFnncTkBcULgPQuHwwgGg/q+cFLi4hS8Nnvxz1DBELeBwTCAsoXUREsVkTBCltY06auW0aUsK5d6K48hk5r2JB2JiXIHF+3t7u62lM1zkV7qxywrp6zg8/ks3QLlmOxSht0GKaNzJl3lsmbyOknIkqRl0ZJdspDRtt1mWCppyUmO45Pj5evSljmUpA0Y4jYwGDYwUpYarlK9q8DIPtvSVx2LxQD0SA5MWra3t8Pj8SCZTCIUCiESiaCqqgrhcBijRo2ytHkl2UoS7e7uRiKRQCqVQltbGxKJBBwOB2pqanRhisPhQCKR0Kv30EHCBSBk1C97eFOaYQUik38yuUnZgdq0w+FAV1eX9rETUi+nfs1EIZ9c7K0DeO8od1DykHIIdXK56g3Hwb8Ho2wp47DPCQuEhorADXEbGAwjKGUAsCTSGNHxhxEfmzBJvZe+YkaAXNiA8ggA3UeDxChXqCkUCujq6kIsFkMqlUJnZye6uroAAJFIRCczASAWi2nipuWvu7tbkziPRzeH3+/XSVJ6t2WkKxfh5WskViY45dMCo15Z/k/XCaUYethlUle6ayhxSE1bRvCUXijJcPLk/ZX5ALuDZqgw5MSdz+exatUqBINBNDQ04PDDD9czsUH5oLu7G3/729/w2Wef4Y033hjyD245o1gsoq2tDZs3b0YgEEBVVZUmJ0Z44XDYIokwGSYjOkbBhUIBwWAQLpcLkUhEL1lGUvnss8/g8/l0GTcTblJbjsfjaGxsRFdXFzZs2FBymS+SnuxYSMucbDhFHZsRq1wfkuOlzsxIW5KnJGc+gchkI6Njno/HpjTDyUweF7A2lqLuLfXzQqGgSZqELf8GlGAymYx2nSQSCf3ks1dr3Ol0Go8++ij+9Kc/YcGCBZgxY4Yh7jJELBbDr371Kzz//PN61W6DgaFQKGDr1q0AgMrKSowfPx5+vx+VlZW6QjIcDls81YzCpWzABJqMIsPhsC7WoXd627ZtKBQK6OzsRDKZRDQaxcSJE+H3+xGJROD3+9Ha2oqPP/4Y8Xgcn3zyCTo6OhCJRBCNRpHP5xGPx1EsFjFlyhSMHTtWR/OMTmW0TaKlTMJeH9JfTaJlFC5Jm5Ex5QcehxWNJFPZjU/mC6ix80nB3rCLE6RsiJVKpeB0OnWvEmn94z0nyScSCTQ1NenV3WOx2JAV3hDDIpV0d3fr8lh7EsGgPFAsFpFMJs1qN7sJShJer1cTiIyASUSlkpWygESSuYw+pZNClq2n02l4vV7tjmCUyhJuardS15XnkklSGdHKHwlpEbRHvnbYt9slDXuCUN4be18ROS67xVI+Qdi7LnJyoYtHHptPLEzeSnloqHnMaNwGBkMMpRRaWloQj8eRz+cxefJkeL1ehMNhrSmTCBiRskjE4XDoaFxqxlLnBXqbS7HQhaTEhFpLS4uldzelkXA4jBkzZmhdmLqurF4kWTGRx7EDvUUxlG5yuRy2b9+u96GXXI7bXg0pfe48H0mcEo90plAW4nHk6u+Mru0NonhfOKnwfnd3d0Mphba2NrS1tcHn86G6ulp3UGRit62tDel0WktCQw1D3AYDgt3yNFSlvXsjlFJIpVK6RFw++nOFc4KP+bKznrSpyYSbTNQxYuZ75d+LCUUSmtSqvV4vIpFInyIdatfszWF3hMge19TGKWWQeHlt1I55LyRp8ynD/lmzr9DO98qx9Rdty2NL8s5kMpZ2sbIQp62tDVu2bIHf70ehUNA5Aj65dHZ2amvkcHwPDHEb7BTZbBYvv/wy3n33Xb0tFoth7dq1wzeoMobdDwxA9/qQMoVM+gHQdjTZUpSVi7FYTJMoI1OSIomTuQja4mT1pnR4SBKjy4XVmlyFntGny+VCNBrVxTK8JntPcPZOkVE+SV3qztI+KO8X30PrH8cJ9EbockIgZD8Xjk12SKQcJBOoUvdWqmeRZVaOUlZiX/Kh6ARYCoa4DXaKTCaDJ598Evfff7/eVsrKZTBw2Itt6KXO5/MIBoNaJpAVgNTD5VJaQM/iBtu2bYNSCuFwWHupZSTOiYGTA5N33F+WjlMKSafTSKVSliZLjK6dTqduEMUV6e3OGHvput2dIfuXMNlZqsUqiV1+5iS58z7SEcIJR0pI3IeedN7TXC4Hv9+PaDRqeXqhxbKzsxNNTU2W0ny6SoaLtIFhIG6n04mJEydi1KhRmDZtWp++vAYjB8lkEhs2bEBrayu2bt2qkzUGuw872QC9LgtGtyzBLlVBWSoJJo9FYpX7SjlCEqxdriCkXFGqKpBJTTpapKZsj3gZDctjyUSgPbEp7XulrpFjkffG7seW22UPGKmv25OqvGb+TjmJiV3KTXzikfd2ODAsq7yff/75+NrXvobKykqzyvsIxpo1a7BkyRKsXbtW29f2Zdi11c8DEoRSPb1KZB9uRntOZ++K67K3iCQbkhIXRIhGowiFQpaVcLif2+3W0TxlC8oVMnokuXIbI1Xuz8RoVVWVRScnKMvI98uOgTwfxy0bYEk9muOW8oYs26eUJKNweQwWFuXzeYu9jxOITFzK5KzT6UQsFsOGDRt0t0BG4fb1O4cLwxJxM9q2908wGD7Yy30BoK2tDR9//DFWr149jCPb+yCjbqBvxC2JSFr++otGgd5EpSzNLrUPjyvdGfZEs0z6yfNJUpWTioxG+br9GnlcKd+U6mRIIpX78zj2pOWOQKlJ6uP92REZ/XNsDocD2WwWXV1dFo2cf6ORgCEn7kwmgyeeeALr1q3DwQcfjLPPPhvRaHSoh2Fgw/bt2/G73/3OknDcunUrtm/fPoyjGlnYE5G2/RisLOSP1JHpPikWexYe8Pv92g2hlNK9vAH0abkKwNKgSeq8khxJorKHh1wBPhgMWnp5MGIGrE8N8vjSnSGJk1E1K0DtpAzAMn5J1ly4127vY5vbQqGgV6Hx+XyWleJ5TXS18ByMpqU0xc6F7HgoJ6Hh1LTtGHLizuVyeOmll/Dyyy/jzDPPxKmnnmqIewSgo6MDjz/+OP7yl7/obcbuN/igA0T2w2DUTDJilzwSVFdXl45YKSHIroBSz+Y55N+SkTZgTRTKCk0eWyYuJXHLoh8p4UiC5/F4bhkFA9BecLtezYmB+S/59CDXw6R+Tr84fdWhUKhPLoH3Vk4MfA/X7pR6fCKRGNHVwMPmKlFKoampCS+++CLq6+tx4IEHYvTo0cM1nH0Wmzdvxscff6yTkIasBx9SIyURUj8FoPtRA72r3FCSkFV+0nUh/c2yeZRsqyrPT8iEnFwYgGNkgQwJjVG8dGBIyGZQdo95qXHIoh4p2diTiNTXWXrPffg6e2VnMhkdWXNS5LXxGPRfJ5NJdHd3I5lMoqOjwzK2zs7Oz/U3HmwMqx3wvffeww9/+EOMHTsWP/3pTzF//vzhHM4+iZUrV2LJkiWIxWLo6OgY7uHsMyChZjIZ3WKVXf+CwSAikYiu2vP5fFoi4WM9/dmMnGlx43a2TmUEWypCl9EoE5AE38eeIoFAoE8Ez0mEY5DdCEmqcgFjjoMEbtfas9msxcPOH05kHR0d2LRpEzKZDILBoO4AyGOyEpXyid/v1w23qKdnMhl0dnYinU6jubkZiUQCLS0t2Lx5s544y8HqOqzETV9poVBAU1MTtm3bhmAwqJvSGOwZdHZ26oVm7di6dSsaGxtHfISxt0KuqiKJkto1CVUmEe0/QN/FCOwSCPezW/3s1YY8Bl+z69B2RwshCZTnkeOT7hY5cfB12YBKeq55bdK3bdfa5STCCctuO+S2ZDKpiZsd/rhgxHA7RXYFDjXAZ+PBJFK/349DDz0U48aNw8knn4zzzz/fsvK1we4jk8ngv/7rv/Dcc8+VlEHWr1+Pd999d0RFGCNVrhmM70AgEEB1dTX8fj/GjRuHiooKLVFEIhHMnj0blZWVOormI36xWNSd/ajV2snS7sXmD4lQXpOMxqV9kBIDHSRsviSdGHJSsE8o8l8prZTyQdMamUql4PP5MGbMGN3P2+v16mvnupjd3d1aj89ms9iyZQuSySRqa2tRV1dnmQCbmprQ2tqKVCqF9vZ2XbrOlq7sPz5SsLPvwIionEyn01i5ciUAoKamBueee+4wj2jvQS6XwzvvvIPf/e53I5YQ92WkUik0Njbq1cQjkYheNkx21gN6XRz2HiUyciapyiiVP4xKZW8P+ZmgF9xO8NIfLc8J9C2EoYxD2C2FUm4pZa9Lp9OIxWIIBAKoq6sD0Bthu91u1NbW6qcTVoHKVgCZTEYnHFndWSgUsGnTJmzcuFGvWFNO0XUpjAjilvj444/x4IMPor6+HscddxxGjRo13EMa8ejs7MRf//pXNDY29nktk8nggw8+MKQ9wlEsFtHa2qoTZ2zB2traqnVoSiZ0Z9D2RnK3952WyUqSH10cJG75mt2NwoQpnSIOh8PSTU9WEsoSc2n9k64TO2RELLdRl6ZtkGQsE54ejwc1NTU6Wk4mk4jFYrprXzwet5TYM9qWVY/ljBFH3CtXrsRbb72FWbNm6dJ4gx2jtbUVy5cvx0svvdTnNX7wDUY2isUitmzZYvEox+NxTJgwAdlsFhUVFTr3Q1IMBoMIBAI6yi4Wi31WyWEVI3ucyCpNoHf9R4/Ho73S9JOTuOkkcblclrUiZZMr+qCpTfMYciKQhMloXlYzAkBVVZU+HwvC2MWP21wuF0aPHo1oNIrm5mY0NzcjHo+jubkZLS0tlkmL/9qLy8odI464qeO1trZi/fr1Fo93MBjEmDFj+szSews6OjrQ0tICr9er9T2iu7sbzc3Nlu5oxObNm9HS0oJEIjGUwzXYw7BHgrlcDvF4XNvbSKKhUAhut9tiDZRkJXVmu8XOXq0spRRZycjX+pNI7K/LxKWUaGRPFCnRANaV0mXRkNfrtSQf6QShFEJ5hAsVx+Nx3WZVVjranzr2JoyI5GQpBINB7L///hbiPuSQQ3DNNddg/PjxQzqWoYBSCo899hjuv/9+jBs3Dtdddx1mzJihX3/zzTdxxx13lOwZ0t3djbVr1+rVv8sdI1XWGervgMvlQkVFBbxeL0KhEEKhEKqqqjBjxgwEg0GEQiGtS1PnlauyyDat/JcRPSUPEj+XMZN6tD1xKP9PUi4Wi3rxYEbaUjtnxac9iVks9i7Ey22UQGh/5Orpq1evxrp16zSBc7xutxupVAqJRMKSuAT6ltqXG8oiOVkK3d3dlv7PQM8fgzOv3La39DtpamrCqlWrMHXqVO1JJVpbW7Fq1Sps3Lhx+AZoMGQgwdJbHwwGEQwGkc/nMXHiRK15k+zk+ogkberNQG90a4/U7T1OqKNLULuWUaxMlLIiUbaTlfvLEnc7IdknQ/uTAycGqV3TMsjCm1JSYDmS9a5gxEbcpTBp0iQsXLgQNTU1etvs2bNxyimnIBgMDuPI9gxWrVqFF198UX/h5D1fu3YtnnrqqX2iSGakfumG8zvAkvhwOIzx48cjGAxi2rRpeuFeLnQAWCsSmZAsFntWnvH5fOjq6sK2bdt0728eW65qLo9FyAhdyhzsIy6tf9TBWZfBNql0ddA3zbEyaShL0yl/NDU1Yfv27RbbI8dHCWlvw86+A2VF3Iyu5VjOPfdcLF26FLW1tcM4sj0DPkK+9957WLx4Md5++23La3ubTtcfDHH3D+q7fr8fJ554ImbPng2Px4NAIKD1b5Z509/c0dGBXC6HQCAAn8+H9vZ2fPrpp8hmsxg1ahSi0aj+fLFS0d48yt52Vkb5XNKL7g/p1w6FQgiHw9ohw4pFjol9V6hPU4OnVCKXXZPHBUbu52RPoGylklLgzCzR3NyMVatWobKyss/+4XAYU6dO1QuZDgVSqRTWrFnzuRKFa9asQTweL5mINNi3wQiTCfzPPvtMR8tut1tb6WQXPnu3PXYbpMbMBKJMFEqCtE9YcnUbvs4InO6U9vZ2ZDIZBAIBBAIBZLNZxGIxnXAlKZPopWZOKUc6WOxEtjeT9kBQVhF3KUSjUYwZM0Z/6CRmzpyJm266CTNnzhyy8axbtw433HAD3nnnnd0+RjqdxtatW5FOp/fgyMoHI/VLOZK+Aw5Hz2rvlEj4I0nb4/EgHA5j2rRpiEQiusBHRtKMzEn++XweHR0dyGQyWraQ5M8JgnIIx8IJoVgsor29Hf/3f/+HrVu36klByicEydnlcunq0a6uLt1Iyh5t70vYqyLuUkgkEv1Gtx6PB21tbUPah6O9vR3r1q3DP/7xjyE7p8G+B6V6FrFNJpP6dyklsoCloqJCd92Udj8SPqsQ+Tp901xrkmXwsgETiVz25WailLLHjr6XTKzKsnkeR+ro+yppDwRlH3HvCLW1tUNefdnR0YFXXnkF27ZtG7Jz7m0YqV/UcvgO2D3YPp8PtbW18Pv92vXhdrt17xHZapXEzYIdRtwy+pX9sLl4A7v5kbTT6TQ+++yzfvt/yDaxLK2nRi+7H9r7nexL2KuSkwb7BkbqF7VcvwNSSgGgF2WQ/UvsiT/AukCxXOUcsP6NGN3bqxPtvVAMBo69XioxMDAYGGQBTC6X071K+pMkpPd6RxGwXfKwn89gz8MQt4HBXg474crEYn8Nl3al8tC+so3B4MMQt4HBPgB7Ic3OyHhXo2UTXQ8tnDvfxcDAwMBgJMEQt4GBgUGZwRC3gYGBQZnBELeBgYFBmcEQt4GBgUGZwRC3gYGBQZnBELeBgYFBmcEQt4GBgUGZwRC3gYGBQZnBELeBgYFBmcEQt4GBgUGZwRC3gYGBQZnBELeBgYFBmcEQt4GBgUGZwRC3gYGBQZnBELeBgYHBCMJAlsgzxG1gYGAwQjDQdU0NcRsYGBiUGQxxGxgYGJQZzJqTBgYGBiMADodD/+wMhrgNDPYAdmVVdAMDO0jYTqfTJCcNDAwMygkDTU46lAkPDAwMDMoKJuI2MDAwKDMY4jYwMDAoMxjiNjAwMCgzGOI2MDAwKDMY4jYwMDAoMxjiNjAwMCgzGOI2MDAwKDMY4jYwMDAoMxjiNjAwMCgz/H+BjvN/b3zTQwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 400x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:100/150: training loss 0.014432\n",
      "epoch:110/150: training loss 0.012640\n",
      "epoch:120/150: training loss 0.012768\n",
      "validation loss: 0.011241\n"
     ]
    },
    {
     "data": {
      "image/png": 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xhlQqpftMURSsWbMGixYtwuLFizv4docy77zzTk5rl+JC5Pojy1JcNxgMdhCg3kS85hljWL16NaxWK7785S/nXN9sNuNrX/saXnrppZxv401NTX021s4wm81QFAWZTIYvO3jwIF555RXdegsWLAAAPP3007rlxurVwXiOPbK4R48ejd///ve44YYbMGHCBF3l5Icffog//vGPPB9z6tSpWLx4MdasWYO2tjbMmTMHn3zyCZ577jlcc801mDt3bo8Hu2zZMjz//PNYuHAhvvvd78LlcmHNmjWorq7Gli1bTjl2n8+H//7v/4bb7YbL5cLMmTM7+LeAE/7XuXPn4kc/+hEOHjyIqVOnYsOGDXj11Vdxzz336AKR/cGyZcuwbt06zJ8/H0uXLoXL5cKvf/1rVFVVIRAI9Oht4nS48sorsWLFCtxyyy244IILsHXrVrzwwgsd/KGXXXYZysrKcOGFF6K0tBQ7duzA6tWrccUVV+QMaptMJqxbtw7XXHMNrr/+erzxxhuYN29en57LYGDp0qWIRqO49tprcdZZZ/H753//939RU1PD/aaXXXYZbDYbrrrqKtx5550Ih8P41a9+hZKSEm6V9yaqquLNN9/E4sWLMXPmTKxfvx6vv/46HnjggQ7xEZFHHnkE77zzDmbOnIk77rgDEydORCAQwKeffoq3334bgUCg18faFVdccQUee+wxLFy4EF//+tfR2NiIp556CmPGjNHpxLnnnouvfe1rePzxx9HS0oLzzz8ff//73/lbhnhfDbZz7FEeN7F79252xx13sJqaGmaz2Zjb7WYXXnghe/LJJ1k8HufrpVIp9vDDD7NRo0Yxq9XKKisr2f33369bh7ET6UBXXHFFh+MYU/oYY2zLli1szpw5TFVVNmLECLZy5Ur27LPPnjIdkDHGXn31VTZx4kRmsVh0qYHGdEDGGAuFQux73/seq6ioYFarlY0dO5Y9+uijuvQkxk6kRt11110dxt5ZipMxHbC75/3ZZ5+xiy++mNntdjZy5Ej2n//5n+wXv/gFA8Dq6+s77ENk8eLFzOVy5TxOrvQ947ji8Ti79957WXl5OXM4HOzCCy9kH330UYdxPvPMM2z27NmsqKiI2e12Nnr0aHbfffexYDDI1zHmcTN2InVrzpw5TNM09vHHH3d5LkOB9evXs1tvvZWdddZZTNM0ZrPZ2JgxY9jSpUtZQ0ODbt0///nPbMqUKUxVVVZTU8P+67/+i/3mN7/p9rWU6/o8cOAAA8AeffRRvoyukX379rHLLruMOZ1OVlpayh566KEOqaAwpMoxxlhDQwO76667WGVlJbNaraysrIx9+ctfZmvWrDnl99HZvbJp0ybdermuHXHsIs8++ywbO3Yss9vt7KyzzmJr167l24tEIhF21113scLCQqZpGrvmmmvYrl27GAD2yCOP9No59jYKY3kQ/ZPk5J577sEzzzyDcDgsy+klZ8SSJUvw4osvIhwOD/RQBpzNmzfjS1/6EtatW9frqca9hezskicYuy62tLTg+eefx0UXXSRFWyI5TXJ1M3388cdhMpkwe/bsARhR9+hxd0DJwDBr1ixccsklmDBhAhoaGvDss8+ivb0dDz744EAPTSLJW372s5/hn//8J+bOnQuLxYL169dj/fr1+OY3v9khX3wwIYU7T7j88svx4osvYs2aNVAUBeeccw6effbZQW0VSCSDnQsuuAB//etfsXLlSoTDYVRVVWH58uX40Y9+NNBD6xLp45ZIJJI8Q/q4JRKJJM+Qwi2RSCR5hhRuiUQiyTO6HZzs6+o8iYQYrGEXVVXBGEMmk9GVU0tOH9KVwfp/3hldjVvUytM9r1NtJ7NKJJJukslkwBjr84mlhxP5JtjEQI9bCrdE0k3Iyh7om1YyOOkNr0R39yGFWyLpJlKwJV1B10d/uH+kcEskEkkv0h8PeJlVIpFIJHmGFG6JRCIZJHTXWpfCLZFIJIOI7oi3FG6JRCLJM2RwUiKRSAYJMh1QIpFI8gzp45ZIJJIhihRuiUTSLWS/osGDFG6JRNItZOXo4EEKt0RyBkgrVDIQ14AUbonkDJBWqGQgrgEp3BKJRJJnSOGWSCSSPEMKt0QikeQZUrglEsmQZigGkKVwSySSIc1QDCBL4ZZIJJI8Qwq3RCKR5BlSuCUSiSTPkMItkUgkeYZs6yqRSDrQWSbGUAz05SNSuCUSiQ5RtHMJeHfFW1EUKfR9hHSVSCTDnL7Kc5ai3XdIi1siGUZ0JtK5lp9q3dMRZmmF9w5SuHsJk8kEs9msW5bJZJDNZqEoCiwWi26ZJP84E8EaaPqzenAoVioONqRw9xLTp0/HwoULYbVaAQDZbBYbN27E3//+d1RVVeGaa66BpmlYv349/vnPfw7waCWnQz4KNnBqITVawUYft6IoMJlOeFUzmQxf1/ggczqd8Hg8sFgscLlcsFgsMJlMMJlMiEajaGhoQCKRQDqdRjqd7tG48/W77yukcPcSX/rSl/C9730PbrcbAJBMJpFKpfDee++hqqoKd9xxB8rKynD06FEp3EOA7r7yDzbXAGMsZ/CxK1eJoigwm838XDKZDBd02icAuFwulJaWQlVVFBcXQ1VVWCwWWCwWtLS0IBKJ8PXFB4B4vFwPkMH0/Q0WpHB3E5PJhNraWowcObLDZ4qiYPz48bDb7dxdYrVaMXr0aFxyySWYPHky3G43bDYbJk6ciLlz56KxsRG7d+9GKpXq71OR9ALdFZP+Ep2urGr6jKxfxhh31+WyanNZ3PRjs9nAGIPFYoHdbofJZILVaoXZbIbX60VRURFsNhs0TYPNZoPNZuNvoTU1NYhEIojH40gmk4jH4wgGg8hkMkin02CM8Z/OxiY5gcK6+Y0Md7+Vw+HAfffdh2984xs5vwuv1wu/36/7LBAIIBAIQFVVlJaWwmw2o7m5GcFgEG+88QZWrlyJlpaW/jyNvGCw3qSD7R4g94VxXKJVLVrGdrsdNpsNmUwGiUSCr0eWbi4xp+OQ24P2oWkaSkpKYLfbUVhYCKfTyYWaHhBmsxkOhwMOh4OPK5vNIhKJIJFI4NixY9i6dSui0ShaW1sRi8W4cIvjzmQyyGQyffdFDkJOdQ/kpcWtKApUVYXNZuu3Y7pcLlRWVmLcuHHd3qawsBCFhYW6ZSUlJSgpKUFVVRUKCgpO6euLx+NIJBKnNWbJ0IfE27hMtJLNZjNMJhNUVYXdbkcmk4HFYkE2m+XBctHKJbeIaKmTINM+XC4X3G43VFWFz+eDpmlcsGk/ZKGrqgqz2czvV6fTiUQigXg8DrfbDZPJhFQqBYvFwsWdMYZUKoVsNssD/IP1gT4Q5KVwOxwO3HDDDbjooov67ZhWqxXTp0/vtf1NmzYNK1asQCwW63SdVCqFV155BW+99Za8aCUcEkWr1coFmMTN6XTCarXCbrfD4XDAbrdz94XdbofVaoXNZoPH40Emk8HOnTtRX1+PRCKBWCwGi8WCkpISOJ1OqKoKh8MBm80Gr9cLs9nMRdVsNnNBJms7nU5z1x+JuNVqhcvl0lnxLpcLTqcTALiF7fV6oaoqUqkUUqkUWlpa8OGHH6KpqQnJZBLJZFLnSqG3g+F6X+SlcNtsNsyePRtLliwZ6KGcNqNGjcKoUaO6XCcej2P//v3YsGHDsL1AJXqMljQJdzqd5iKqqiq3iDVNQ1VVFRd0i8UCj8eDiooK7jKJx+OIRqMATtxbZWVl8Hq98Hg88Hg8cDqd8Pv9sFqtiEajiMfj/JgAuBuFfNWim8ZisUBVVTDGuB+bBJ/Gb7VaMW7cOBQVFXHf96FDh7B79260t7frrHAxqDmc02rzUriHC2azGdOmTcMNN9zAl8XjcXz22Wc4ePDgwA1MMiCIqXlmsxkFBQVwu91cBE0mExdospbJJ22xWPg66XQawWCQC6/L5YLP54PD4YDFYoHX64XdboemafB4PFBVFW63m1vrZBXH43FufZN1bbfb+VjJJ07uEwrckyvHZrNxV0kkEuF+bMYYTCYTxowZA7fbjaamJh4LMplMyGazaGlpQTgcHrYuFCncgxir1YqrrroKl156KV8WCATw7//+71K4Bzl9lRFBlrbNZsPIkSMxcuRIOBwOLuBknYpibgwYUmCQ0voKCgpQXV2NyZMnQ1EUBAIBJBIJOJ1OaJoGu92OgoICWK1Wvv9EIoHW1lZ+LMpWoR+yjB0OB6xWKw9wKorC/erkRslkMmhpaUE8HudvC2azGRdeeCFSqRS2bduG3bt38zeKdDrNg5ridzucBDyvhJv8dYWFhXC5XAM9nH5B0zRomsb/pgCRZHghuh9IgMmyph+yRrvah5ipQa4L4OR1ZTKZ4HA4dG4XyhYRg4fpdJqLtTFlkPYHgLtDROEWx0nrp9NpJJNJWCwWvm8KhPp8PhQWFvJtE4kED6ACw0uwibwS7vHjx2Pp0qWoqanBWWedNdDDkUg6xVjo0huQtU0uEBJVRVEQj8d5wNBisSAWiyEajXJxpe2o9QIJazweRygUQigUQnt7O1RVRWFhIc/Tpv1RjUIsFuPpeVQBSX5t0VVCVr7T6eTBSTomuUpSqRRPAQTAHwjJZBJms5m7WcaMGYOqqio0Nzdj9+7diMVi3H8uBimHk4DnlXAXFhZizpw5GDt27EAPZcAwWjbD6WIdjhjzsclypUCj2AOH1iOXSSqV4r5kYxEOkU6nkUgkkEwmkUgkYLFYeO41Wdpk3QPg+d/kDhEtfPJh0/rk41ZVtUMVptls5oU44rWczWZ1RWlmsxmFhYWw2+2wWCzYt28fz6Chh9JwJK+EWwKoqoqFCxeiuLgYO3bswMaNGxGPxwd6WBKB3vJviw9o4IRFarPZUF5eDk3TUFBQAKfTyYWURF0UdlEUxUIWsr5JbMVCGvJri43T6Boj65x6jmSzWW5B0zFMJhPfB22fyWQ6pPQlEglEo1FkMhm43W5+LsDJpm3kVqH9ejweZLNZ+Hw+hMNhJBIJhMPhIZPr3d23NCnceYbT6cR1112Ha6+9Fr///e/xj3/8Qwr3IIMEpDdEhMSbgn12ux1VVVXc76tpGncxKIrCc7XpBzhpyZJ7w2KxwOl0IpVK8XVUVUVRURE0TeMBRdqGRDeVSqGtrY0HJekhQCXvZC2bzWZ4PB5omsZzsDOZDKLRKLfwU6kU/91kMqG4uBhOp5O7eADo+qNQumNBQQG3wsPhMMLhsC5Imc/i3RPX2qAXbkVRUFZWhtLSUowdO5b70IYzdFOKr8CSwUNvCba4L5/PB7fbjcLCQp5bLZawA+ApeWR1k7VLljdjjIsoWceUMaKqKjKZDFKpFK+uFItdRDeNzWbjwk2+/Gw2yz+z2+061ww9BOiHlotWtdi8ioKgxqCn2WyGpmk8F9xutyMej+vWoe3yVby7y6AXbrPZjGuuuQZLliyBz+dDaWnpQA9JIjljcvUXET+jz8kVcc455+Diiy/mrgOx7QNZuoqi8IwQStkTS96j0ShCoRBfnyzd6upqeDweBINBnpttzFyiB4LP59MdM5PJcJeF2+1GSUkJrFYrFEVBMpnk+eDhcBjNzc1IJpM8iCmKP+WGW61W7jKhkncSeMopj8ViOH78ONra2pBOp3luubHfSq6GVYNZ0HsS0B60wk1RalVVUV1djXPPPbfDRAUSyVChs5amFMgrKirCqFGjePFMJpPRuShoG7K0xcCl2NMnnU4jk8noslAoR5uCgrQO7VMMLIqiS8U8ZHFTMJIsZrKgaZwEWe7klyd/N7lxKLhKBUKi9e50OnmqIKUoGi3zrtwm+WCNd0e8B61wl5aW4rrrrkNtbS1mzZqVs5mORDIY6akwGHOfaZnb7cbUqVNRVFTEM6nI8iRhI9EWg4DkCy8uLtYdhxpCiT5x6h8vZnMkk0ldoJOsXxoXuVLobzGISBkq4ndAFrjX64XT6eTiLPrdKcOEHjriudCDhH6nPG63241wOAyz2ayrusz1f9AX6Zl9RXeun0Er3MXFxbjxxhtx/vnnd4iuSyRDBWN6p3idu91uzJgxAzU1NdxqpnxsAAiHwzwwTVYqWbpWq5X7g6nQRtM0nQtGFH/6nfKrKTAoCjf14aZUP9FfTVY3iTalDVInQTofcvMAJzNdkskkAoEAF25xFikA3PJOpVL8wWA2m+FyuXjfE2MmT2fiN9it7e6Ob0CFu7S0FBMmTAAAfPHFF2hsbERlZSXGjx+P0aNHo7CwUFraXVBRUYF58+ahvr4eO3bskL29BzmiSItZHwTlRauqCqfTiYKCAi6kAHh5OQDuYiDRFI9BUOCO3AliF0FaRmXsBFnDotvBaK3S37QP6vRntVqRTCZ1YxEbRIntZul8xDxwo8vD+DCjgKbFYoHf74fNZuMdDY3fw1BnQIWbWpsCwIMPPogNGzZgzpw5uP/+++Hz+VBUVDSQwxv0zJw5E+PGjcOBAwfwox/9CO+///5AD0mCjoEwUYBIZAoKCrglSpZnJBJBMplEaWkpqqur4Xa7oSgKIpEIz+ogS5osbBJZEi4S0/b2dgQCAVitVh4wjMViSCQSsNlsvBmV6CcX/dRiKh6gd+PQeg6Hg1vh6XQa0WiUN36iPHHKZKEAoyjK5AIRx28sNCKxNs7c4/f7+e+fffYZUqkUz5ghcrlLhgr9JtwWi4VfcERZWRmqq6vBGENZWRmKi4tRXl6OqqoqXX8OSW6oSY/T6ZSB2zxALEmnQhfgpHCbTCYkk0m43W6e8kftUkUr1Rg4NP6QG4MsdfEBQgJKfmlyfZC1bxRRQnwYifsTHxY0VmPDKRJYEmLgpPUsjlkcl/HYYrAWOJk77nA4Oqw7lAS6M/pNuGtqanDHHXfo5mysrKyE1+sFYwy33XYbFixYgLFjx8omSt1k06ZNeP7551FfX49du3YN9HAkBoyC4vP5cM455/CZ0El8KO+ZhI2yqcTGTGQdUyaHmFUiiiP9SzMnMcYQjUaRzWahaRpKS0t16YOUd00PD+Bk3rdodVNqHhXkiC4V8VzJcqc+KZSFIraWNaY6Uo9wsvQp7zuRSPAHgXgc0RqnY8ViMV2wdqjTb8JdUlKCyy+/HJMnT875+ezZs/trKEOGAwcO4MUXX0QgEBjooUi6gCxGp9OJ2tpalJSUcIGz2WxwuVz8jdRmsyGZTCIWi3FRoqpBsa0qAJ59AaCDcIvNn6g6kaojE4kE2traeNEM7dfYL5usYNF6FydLyJW+KFZpUi43pfmJJfTAycpIspwp+4T8+uI50DFEtwk9tKg6czjNitOnwq0oCqZMmYKpU6eioKAAGzduxObNmzFjxgyMHz++Lw8tkQwYYjBPURQ+9ygF1HK5LkisKFWPLGAx79pYZBKLxfj2lHUiuhQo9Y4s01gsxidQoCAiZWiI2xrdIWRli+4UAPx3Cj5arVZ4vV6eKUKC397ejmQyya176m6YTCb5eMQHGVVHU78UsRcKHZOscSoyGk6BSaCPhdtkMmH+/Pm47777sHXrVjzwwAM4fvw4Hn74YSnckiEPCXNFRQUmTZrEy9RJfMinS8JNU4LRtlSCLk6aK7o0SGBVVYXH49F15aMqR9HnTc2hgJNWNf0tir9RkMUHCI0NALeqKcdaVVVomoZ0Oo22tjbE43HeNpYsaofDwVu9trW1oampCalUinchpLJ5i8WicweZzWak02n+JkKNpSKRCD8fcVqzoU6fu0qoMquwsJC/pkkf9umTzWbR1NSEUCiEhoYGXRRdMvggP7Lb7dZla5zKQhQta/o7V36y0V8sLqPfxdQ+0WI2LssV9AROukfEToC5LGESfzHoSbnXlPooBj8pEEnriw8xo1uF3kQoj5ty2IPBoG6W+uFCv/m4a2tr8dBDDyGRSKC2tra/DjvkCIfD+M1vfoO//vWvOH78OLc4JIML0V3idrsxYsQIXf9o0ZolHzRZzGRpi1Z2rkwL6h8iCh8FMam/thjIo0pIsbkTiT1VLwLQCSaJMgU66a2BeopQJkwmk+H55+Sbpparra2tMJlMPA2RfPN2ux1+v583uyIfN31P1LOkvb2ddwKka37r1q2oq6tDIBDgrWFF8R7qQt5vwu31ejFz5sz+OtyQhG6g7du345133hno4Ui6CQUgRd+sWNwiBhtz+ZmBjr25KWND9G2LVqy4f1o/1w8JJblkAOQcn1gEJOaUk0uFxk/LqBEVVVFSNSaJNlnvqqoinU7zvG+y7oGT1aB03UejUQSDQbS3t+PgwYPYu3evbgq2riomhxqDtuRdoufAgQN48803cezYMWzfvn2ghyPpBmIJOgUB6Ud8vSfLmgRLhKxqEj2yZMU+2TS1GIkopet5PJ4OxTliUyagY0BS9KFTMFIUbiqcoVJz2icFXcPhMB8XWeF+vx+apvEMmd27dyMUCvFzTKfTaGxs7DD5L40rEokgFoshHo+jtbUV0WgUra2tHd5KhgLdDbJK4c4T9u3bhyeeeAL79++Xfu08gnqAiO1MxSpEMQODUufEzArquU650GS9GrM8xL7WZMFSZSYJnJj6l0voxDxtsQGU2O9EzHChMdFkxZFIBO3t7bqWr1QcZjab+ef/+Mc/sGvXLvh8PowYMQKJRAKbNm3C0aNH+cNAfBMRLX8Kkra2tnZoZjWckMLdj2QyGRw+fBiNjY093vaLL75AKBTSzccnGdyIlq1oGYoWovgQFn3VJO6iaIkTF4hBTvFBQPsly1y0oMUAJB2Plokd+MQ3AFGwab+UwUEphbQtBQ1TqZQu/5zWp8Bia2srt5gpD7utrQ2RSISLvHguxu9ATJkcrkjh7kdisRiee+45vPTSSz3elhrRS/IDMTOCKg+pIIXcDVQVSD9Uvk3iRf5h8vGKlrOYey328SCRC4fDCAaDOpE3jkt8UIgiSeJIAU7gpMiL5xAKhXRvEYFAAIcOHUIkEsHhw4cRiURQU1OD6upqRKNRHDt2DNFoFDt37sT+/fv5A4LS+sgPnqunidGPPVwqJDtDCncvQzdbLn8lBVW2bds2ACOTDCTGikKyckXr2hg4NFZDilOUicvFKkbRT03FKZTbTZ9Rhgf5xI0piqKVTeMVfeH0L/nS6bxSqRRisRgikQiam5sRCoXg8/ng9/sRiUTQ1taGcDjMs0RSqZQud53O0dg4i6ooxeMPVbp7flK4e5mGhgb8z//8D/bt29fhs2QyiU2bNg3AqCT9jdEvTC6BUCjEqwyNs9cA4AFIgoRXnMaLApHkE6eMEBJkehiIqYXGxlAk4Eafezqd5qIqZsMYs1A8Hg9GjhzJx0LjVFUVoVAIR44cwfHjx3Hs2DF8+umnvHw/lUqhqakJ8Xg8Z8GMKOI0ruFUWNNdpHD3Mq2trXj55Zdli1UJAOgCfJlMBqFQCJlMhk8CIFrbZGmSq4KEmNL1yLUiNpuiY5Bwiz5ycqdQAyZj7jbtCzhp6ZHAxuNxPomwsdiGMQaXy4WKigrYbDaEQiE+FRqlJzY2NuLQoUO670L0d+cSYqPffzj1HukpUrh7meGUSyrpHlTcQlYugA5BOPL1isE3o6iL6XeKcqLnNaXhGXOuRd+3WIQjBjPJ/0251WQ5u91u2Gw2aJoGp9Opc1sQZrMZ0WgUyWSSZ5mI2Si5fNBd+ablPXMCmQ4okQwSqJkSpeOJLV0Bfc8PADx9UAwkut1uaJqmE2Hqb0+WbiqVwpEjRxAKhXgzJ7LWyYIX3SJi21VRMCiNUFVVPk2a0e9sMpnQ3Nys204U8FwY3UJA14ItxbxzpHBLJP0IWbmEMago+sQp9a+riRNEK1wMZnZWSSj2NDF+TsvFftziuI19T8SiHLEp1amg85LCfPpI4ZZI+hiaXV0sD6dMCXGyBEp7A06m3xnzoMWycgC6bA5qBEWd9MLhsM49ITaKoskKKEhIBTuiSyQej6O9vZ1PzEvjoJREKhIii54699FPV0jRzo3Y46YrpHBLJH2MxWLhHTGpSpJElKxlADrL2tiFj7JURP+0mGIo5jpT4JIClmIjKUq3owcCZZyI2SgkqqlUCuFwGDabjbt4ksmkrg2rMbtluPUM6Qu6891J4ZZI+hCysmnCXHKDiNa1WNgi9gexWCzwer08bZBmg6F9hMNhXWdBcrOIOdfGiQ9IXOlhIWZyJBKJDq1URdEnC53GSQ+XeDyOdDqNUCiElpYWBINB2Zahj5HCLZH0EWQxi8JNokzTbYnBQioJp0wNVVXh9XphtVp5CTsALvgNDQ1oaWmBqqpwu926iRTo4UCiLVrh4j5E4aaAqOizJiGn7Wh+R+r+Rx0P0+k0WltbUV9fj0AgkDetGfLV197nwt3c3IwdO3bA4/GgvLyc+8UkkuFCIpFAMBiE1WqFpmm6QKLoJonH44hGo7pOfmI/Eeo9QrnXZAVTt0Cy0KlzH60HnMzoENMR6UFCAh+NRnVVlOSGEUvmqdhHLH0XUxjzrVtfvozTSJ8KdyaTweuvv44tW7ZgypQpWLZsGUaNGtWXh5RIBhWMMRw9ehSxWAwlJSWYNWsWfD4fFznRwq6rq0NTUxOqqqowduxY2Gw2OBwO3lmvqakJZrMZqqpyIbXb7bxHiM1mw7Rp0+B0OuF0OqFpGlKpFNra2nhbWbvdrgssUgqfGBCjYCk9PCjdUFEUhMNhRCIRWCwWxGIx3nub3DliwVFX5KulO1joc4v7yJEjOHLkCLLZLNrb23mARXxFlEiGKtRPOpPJcPGjYB9wwvIln3E0GuUdIJ1OJxdEADxzhAKKJOA0200gEOBtXykzgTJH6EfsB077NXYRFDNZqL2saIWnUindjOpioLO7QcnuFplIOqfffNx1dXV45plnUFFRgYULF2L69On9dWiJZEAgASVxbG1txZYtW+Dz+TBu3DiMHDkS2WwWPp8PsVgMra2tUBQFmqbx7I22tjZkMhnuV7ZYLLzwhgTQ6XSiuLgY2WwWR44cQVNTE//MbDbz2WWoNzb5v2kC4VAoxK1+k8nEKydpGjSaMZ62JVcMPYgoWGq1WlFQUMADqyJGsZbW9pnRr8K9Zs0auN1ulJSUSOGWDAvENqmBQABbtmyB0+lEeXk5fD4f90XHYjHU19cjk8lw4c5kMggEAkgmk7pJCyjThNZxOp0oKipCPB7HkSNH+Cw0qVQKbrcb48aNg9vt5mmJ5I9OpVIIhUJ83kaq7iwrK+MuGnEeTMohpzcB6ktCfm+LxYKCggKk02mdf10s+BH/lZw+/ZpVIs4WLZEMF8QGTmTVBgIB1NfX82m/EokEIpEIL7KhrA2xilIMMIo9u6kxlDifpTjdmTgjDaXpUb437YvK4+l3ai4lltSTj5yscMpNp4wVsThHzDcXvwNJ7yDTASWSXiZX72rghGXa3t6OWCyG7du3IxaL8dnS0+k0jh07hmAwiHA4jGg0qquepOwO8lWLmSmJRALHjx9HMpnkzaHIuqYqymg0yq12cfIDCoA6nU643e6cEy+I2TBisNLpdAIAz+Mm/7eqqly8ZTFO3zAgwh2LxXh6FM36IZEMBTq7lo1WcygUQlNTE5/lnNL6RAEk65eEWmwwZZx0mEroyZ9tt9t1EwhTwQ+5PEhMaV3KBTf2HDFml9BYxK6CYkqj2AJWLPyR93jv0u/CnUgk8NJLL2H79u0455xz8I1vfANer7e/hyGR9AldWZeiJd7U1IRoNIqioiK4XC6dSAMnrHOr1YqKigq4XC44HA7upqBWqzRTutPp5L5ln88Hu92um9+SZpnRNI2LOFVJ+v1+lJWVdWgzayxdJ9Gn81AUBbFYDMDJplaUi04uG7FRlqR36XfhTqVS+OCDD/DBBx8gEAjg2muvlcItGRJ0JzeZ1mlra0MwGORl8DR7DPUDoWnHCgsLUVRUBIfDwVus0j4o88Rut8Pj8SCTyfACnEQiwXO0jb1EKHAJAB6PB16vl68nirXYW5smBiZL2zhLD60vpgsavwvpMuk9pI9bIuklutvSFDgpvjTJAkFuDBI+mubL7/fzSRPI+qWKR5vNBrfbjWw2C4fDwRtCqarKs06y2SwKCwu5tU4z65D/O5VKIRKJAAAvmyfIzw2c7MstZpXQg4EKgQKBAOLxeIcHWVeWt3E9KfJdI4VbIuknRLcBCRNNspBMJuHxeHhAkcSL5i6dPHkyfD4f79gnui0cDgdKSkrAGOPbGidIEP3i4vETiQS3zkOhEM8jpxxu8qlTMJN+yGXDGOP7OHz4MN577z3EYjG0t7freneLx8w1kYJR1LuKFUgGQLgVRYHP54PL5UJxcbGuG1k+Ew6H0dbWhvr6et4MSCLpDDF4Z5zwV+wQSC4N6mOSTqcRi8X4Q4AyNyjzxHgM47RlJKT0Q26NRCLBKzLF8YliLbpExOnWIpEI2tvbEQqF+HyVYsovHTOXGMt0wdOj34VbVVXceOONuPzyy1FeXj5k/Nvvvfce1q5di8bGxpwzvEuGN2J6nVj2bjabefpfMBjkWRzkynC5XLBYLGhubuZ+b3EWd7PZjHg8zidNIKtazEyhqkfKDiE/dzqdRlNTE5/qjI5FU5ZR9oiI6Kahh8jHH3+MAwcO8DcHo3/baHkblwPI6ROndUS/u6zAPEG/CLf4ZVutVkyZMgVXXnllfxy6X2CM4eDBg1i/fj3C4XDOdboTWR+uF+FwgsRKFGcK/FFaIAUiyT1BlZXUvY+yUKgEnhpViVCxDVU7UsGNmJYo9tCmt2Bys1A5uyj0AHRdAKkPS11dHXbv3s3PL5dod/ZdGKdx6ywTpTO/96n84flm0Xc3A6dPhVtRFMyYMQPnnXceD3aoqorJkyf35WH7jWg0io0bN2LPnj344IMPOu1BPGLECMybNw8FBQVd7m/z5s348MMPdRF7Sf4jNlUjUfL5fCgqKuJFMORHJgvZ5XLxoKNYPp5MJnmzNkoPFKsWqXKS3BiKovAeKGLxDIk07d/tdsPv93NrPRgMQlVVHoAkQRWzVaLRKMLhMILBIO8wKAqpKNqUL07nR7njPp+Pt5cFgOPHj+Pw4cN8Vh56sHV2b51KkPNFsInujrdPhdtkMmHu3Lm4//77+cUnRqjznfb2dqxbtw6vvvoqn5k7F6NGjcL3v/99jBs3rtN9ZbNZPP3009i0aZMU7jwiV6DNiDhDDc0qU1RUxFsck4vD7/fD5XLB5XLB4/HwsnJyjSiKgpaWFmzbtg3JZJIHEUlIxV7Y1DSK+nin02keuPR6vRg1ahTve1JcXAyXy4WioiJkMhk0NjYiGo3C5XJB0zSdO4Ms/2AwiLq6OoTDYbS2tnLhFkvdjW/alGPu9/vh8/lQWFiI6upqPocmYwwfffQR6urqwBjj7ho6H3G/Pa3IPNX/U75lsvS5q4Siz0NFrEXogqJCivLy8g5d0QBg/Pjx8Pl8vES4s31VVFRg6tSpPD0sm82ivr4ejY2NfXYOkt6hs5ueLF1ye5CvWdM0Xigjtlwl4SNr2eg+sFgs3FVCZe9kDBmDk0YLnPZts9m4K0UMIoq+axoXVUPS8SglMZlMwuFwIJvNQlVV3t9b9OUD4L3BVVVFUVER7HY7iouL4fF44PF44PP5dL1NysrKUF1dzXPKxVl4xO+6pyJ7qkKgfBJtQKYD9hqzZ8/Gd7/73Zzi7PF4UFZW1uX2iqJg/vz5mDhxIr8BE4kEfvWrX+H555/PuwtruHAq/yq1SS0qKoKqqigtLYWqqtA0jfcoicfjunklqWEUiTQFFUngRo8ejXQ6jba2NoTDYX4MEnZFUbjFLfYeIVcJZauIBoLY0Ire+Ggdi8UCn8/HXSqKoiASiUDTNB5YpYcMWfwklJMmTcKECRPgcDhQUFDA3TTUS5yaW9Ebhcfjwfjx49HS0oL/+7//Q0tLC5LJJA++nsl9MJTuISncZ4CYLzty5Eice+650DTttPdXWlqK0tJS/ncikcAbb7zBW3EC4DeW7LA4+CELj6oiNU1DYWEhFy2yJElsgZP/v2QNkyVNokM+YsYYFzM6Bl2PooVKPnSxzwil/omTLKRSKZ7GKgocBThpW3FOS4/HA5PJBE3T4HK5uMVO+6DKz8rKSi7cdL+Q/1pspEVuEIfDAZfLhT179uj6kIuuoKEkwqeDFO4zQNM03HjjjfjSl76EadOm9fp8mhaLBQsWLEBBQQG/UKPRKF599VVs3ry5V48l6X2MhSfAyWwP8dWdMjjEwhuxZzZldZCwiiIvWu3Ayd7Y5EIhN4dRJKl8nqYyIzFWFEWXzUIBRTp+OBzu8GCprKyEx+Phx6bxAycC816vl/dTIeEXz1OEiobMZjMuvPBChEIhHDlyBMePH0c4HEZjYyPi8Tja2toQiUR0It6Z77qzz/IZKdxngKZpuPrqq/kF39vNdMxmM2bPno2LL76YL2tpacHevXulcOchJFRiX2yqUDSmxpGgial3oqADJzK0nE4n4vE4z5+m9Um0c/1LudoAuDCLWSjUM8Vms+mySijbJBKJ6PLDy8vLUVJSwq12etAoioLS0lJ4PB44HA7uzybhFxtR0T1EDwuXy4XCwkJkMhkcPnwYR48e5ROPU1ZNIpHQuXiMAcjevh8HE1K4z5C+EOyu9q+qKs4++2zMnz8fx44dw65du2QWyiBHFGyCrFwqKzf6iOn/XXSTEOJM7WLQUHSnAdCJtbHUXfzbOAO8uFzcp9FAoRQ9sr5JeClnnI5Dv5OYi5WhYuGNcfzig4b6jJeVlcHj8SCdTsNms/EW0fTQ6qxQZ6ghhTvPcLlcuPXWW3HdddfhT3/6E1auXIlgMDjQw5J0AVmHlJFhMpl4poXoNqAJCcgKB8BdD2JKoNgvRHSzGGe6oUwSck+IIinmldN6xkl/SQhp/6JVnMlkEIlE+LYksA6HQ1ewQw8mANy3bnx7EK1ucg+ZzWZomqbri+JwOFBaWop0Oo2Kigo0NTXh+PHj2LlzJ28JQA+T00kZzCekcOcZJpMJfr8ffr8flZWVKC4u5lH+zooUJAMLCZnRwhRnmgHQ4XNaJr72i8U8xn4itMw484wxRU/8XVzP2I9ETCM0VkOK4xX91GL3QBJzwph+KJ4vvVlQqT65VOjNgM7Rbrcjk8nA5/Pxh4fL5YLJZOIPhuGAFO48Zvr06fjJT36CI0eO4Le//S22b98+0EOS5IAsSypNF2ePod9F14QocEZhBE66WcQAZiwW62DBEuIxyVo2umDEOSSpcIcsf7L4RdeLeG7BYJCnNFIGTWVlJTRN40HQTCbDJ36gis9MJsMnPKa3DRqbyWTiTbei0Sj/DkiYCwoK+HRrBQUFaGtrw6ZNm1BfX58z6DnUkMKdx9TW1qK2thb79u3Dhg0bpHAPUkh8SWQpJY981KJ/22jFin5f8hGL1rL4UBAtWGNsJJ1O87Q+8jPTPoCTaYP04Egmk7pKyFzQ8ak7IJ0PldFrmsaDmyTOZMGTRS02qxKLbqhXuKIoPIYjBlBdLhfcbjevMm1pacGOHTvyrgLydOlT4WaMYevWrVi3bh3Ky8sxa9asIdMNUCI5FWLQjSxhcc5GEhlK8xOFnASbMk7EOSPJFUH52ZSJQTPVULWhsUEU/S728hbTAcn6pf7aoquDJi+mfTPGuH/d4/Fwa556kGSzWW4pi31MxL7gZHWLQU16K6FzNrp3cr19aJqGeDze5UNmqNGnwp3NZvHWW2/h3XffxcyZM1FTUyOFWzKsIAuSgoaUIUGZJGSFUw8RVVX51GUmk4n36wiHw7wSkixSakRF7gsS5FQqBZvNxgWU0uZI2AkKADocDt4alqoUSbjJYqYHDzWeIgGmXO5UKsWt4Fypg3a7HT6fj4s27YMCkpQ7Ti0kCHoTEMchvk3YbDY+bRsFf4cDfe4qicfjiMfjaGxsxKFDh3jPArfb3deHlkgGBeR+oHJ2RVG4y0SsduxOIyTxM2MloTFjxOg2EYOUnc3GTp8bUxSpqEcsmxfzp8XqT3GcYq8UMXOEpjszdjYUXUOihW0ssqF/ya1D4xsu9JuPe9++fVi+fDlKSkpwxx13DKl+3BJJV9Cs54lEArFYTJfaV1lZiXPPPReqqvIClnQ6zcVXdI9Q8BAAz6KgdShoR/7jTCbDe8NTOiC5RMhaJitdTKMzmUzw+XwATjZRowcO+anFohyj8JPvnua+FAOaJLLNzc2674e6DtIkxmIOOO1bzIEXXS7t7e1obm5GIBDotBf+UKTfhDsYDOLjjz+GpmlYsGABvxiJ4eSfkuQnp1s+TS4KsbET4Xa7uVsjlUp1KKaiYJyxiIasdhJEEl7RBUEiKAo2/U6+a9GNQy4Y2gdNlSZayEYfOVnb5P+mHGxqHpUrmEppe+Jn9MASHwbG9ETx/4BIJBJobW1FW1vbsCpE6/eskmQyibffflv3dNQ0DfPnz8fYsWP7ezgSSbc5U/9proIQ6oInznpDQT5xvkeg4/RnZBED0M0Abyx7J/cGtVgVy+6p5wftk7JExHkwxWOSOIr9UTRN4+X3Ho+HW9rGsYrWNDWNonGQX93hcEDTNH5uVLAkPgTE/QEnqonFSZZ74/9qsDMgwv2Xv/wFb7zxBl9WXl6OkSNHSuGWDHnIoiRhaWpqQiAQgN1ux5gxY1BcXMwrBsVKSXGGdtF9kE6necBQtOzFDBXK4NA0TTdTfCKRQDAYRENDA+x2OxwOB1KpFOrq6hAKhbiFTIFFk8mEeDyOWCyGeDyOQCAARVHg9/vhdrtRUlKCwsJCnStIHC9Z2ZQfTq1nKZAZi8V4HxVy4WQyGT5+UbyNs9zTtiaTqUNf8qHIgORxk1VAhMNh7Nq1C5988glKS0tRWVk5aFwn4XAYBw8e1EW6CwoKUFNTMyQnh5D0PaI1SFayyWRCOBzmQT6yOim7Q5yMhIRJ7FUi9iRhjOn6d5MlTaX3sVgMra2tiMfjvOJWrEqk/YhBP1oWj8e5W0N0lYiTIRjvXbEyUrSYRfGl1EASXjHtUKwENX53lPlCqYlitehQtroHRQFOW1sbnn76abzwwgu4/vrrcc8993Q5W0x/sn//fqxYsQJ79uzhy+bOnYsHHngAJSUlAzgyST5iFBPRGj18+DDq6upQU1MDTdO4UDLGUFlZCa/Xy10ZZAmT0JO4UV9su93Oc7upKjEYDCIajaK1tRV79uzhXQUzmQxPLaSUP5PJhJaWFt7G9dixYzrXhtPp5L3FvV4v3G43VFXtkGttLHMHwPO0RVeO1+vl50yuG3ogkKEnvoVQRo3ZbObl75S3Ln63Q1W8B4Vwp9NpHDx4EABw3nnndYgOU95rX0N+NfFVKxAIYMeOHfjiiy/4slGjRnU6v2R/QlH6WCw2rAIzQwkx7Y2uKcryoP9fSqUjERODlcb7QszIoPWNueRU6UjWvCiExv4m5OcmvzetQ82jqPBGbE/bWZqhmMYoijAA7ocnS1wMpBrL83NZ30aGsmgDg0S4RT766CMsX76cvxaazWZ85StfwaWXXtohotzbtLS04A9/+IPOuq6vr0dDQ0OfHvd0+fTTT/GnP/0Jx44dw969ewd6OJLTxCgwgUAAW7duhd1uR0lJCRwOB9rb23H8+HFdFz+xPJ4sYXJ9kKiSK0Y0RpLJJPx+P+9HYjabeeZIPB7H4cOH0d7ezmswKGtFzMW2WCwoKiriAU8qLKJe3lQ4ZCxlF6F+JGIeuNG3b/xMnClHURQcOXIE27ZtQ1tbGxobG4dNLvegE+5t27bpem7YbDYUFxdj3rx5HSYN7W3a2trwyiuv4G9/+xtfNpif2jt37sSaNWsQCAQG9Tgl3UdRFITDYYTDYdjtdng8HjidTkSjUTQ1NekChWSZkjWdTqcRCoV4+bcxG4XcFjSHJPm1LRYL2tra0NDQgGg0imPHjqG1tRWAvphHhNwbTqezQ+k9NZqyWCz8DVbsxSIiZs6IAi1a7GJglj4ji7+1tRUff/wxwuGwzjIXA6ND8d4YdMIN6MUy1392X2JsqznYSKVS2L59O+rq6vDZZ5/xGUckQwPx/5LS9ShzhFLlqBBHdC/QdiSYoiDmKuYRl1PwUXR90H6NYyKM6X60HxJqGhv9nisPm9w94ljE8YjLKFDb2tqqq7Y8fPiwzp2U63scigxK4ZZ0TiQSwdq1a/GnP/0JkUhEl+0iGVqk02kcPnyYW7MWiwUlJSV8QmqqTiThVpQT/U6MmRZkyZK/miohRTeLopxoOJVOp3XToeUyDIzFMWK3v3A4DLPZzFMSxdl5yGUiZqNQFSZw0ndNwm08bnNzMzZt2oRQKITm5mbeW4UCuMOJvBDuSCSChoYG3esSRbF7E7PZjMLCQpSWliISieiCpJSi5XQ6+dx5/UkymeTlvUePHsWRI0f69fiSgUHslGexWBCNRhGNRmGxWOByuXT+axJD44zsYsUl/ZA1S5YrLaMGUDabLWc+NFnJuQKaYgAUAHfFGCdiMPqwRStc7GQo9uCm3PNwOIxgMMgLh4Yrg164M5kMXnvtNezbt4//B7tcLtx888245JJLevVYfr8fS5cuxaJFi/Dqq6/ixRdf5NkaNpsNixYtwsKFC1FRUdHvXQ537tyJX//61zh8+LCcKHiYITZram1txebNm+FwODB69GiUlZVBVVW4XC7uCzb2+SZLl/KyAfCc7Wg0ilgsxgOOdrsdfr8fDocDjY2NiMVifByiJW82m3mqIAmwWE1JQu1yufikwmJXQbGJlZinHovFdH1RkskkDh48iCNHjiAajSIQCHDXyHBm0At3NpvFtm3bsG3bNr7M5/Ph4osv7nXh1jQNc+bMQSaTwYEDB/Dyyy/zzywWC8455xxcf/31vXrM7lJfX4/XX38d+/fvH5DjSwYWEu9YLIa6ujo+eS61NTVWWxoLXajKkoRWnIdSnNTBarXC7XbDbDbr5jIVc64p4yuZTPIJD8TJIqgcXYxPkatHbHIFnAx6UkYKCTalQsbjcdTX12PXrl06n7sU7jwkmUzi3Xff1eUua5qGiy66CJWVlQM4sjNj27Zt2LRpU86c7O3bt6O9vX0ARiUZDBhzl9PpNJqampBOp+FyudDY2KgLLhYUFPD5SGn7aDTKLWLyjQPgLkcSxPb2dp4OaEzBVVWVl84XFxfDZrPxhlJidz+3260LdIpBSHFyBQqCBoNBtLe3o76+HocPH+b+8nQ6jePHj3NfO/0Mh7L2rshL4Y5Go/jDH/6gs4grKyuxatWqvBVuxhjeffddrFy5MmfAkaZ3kgxfRCszm83i6NGjOH78uC47w263w2w2o7a2FpMmTeIBQEVREAwGedyGtvF6vfB4PNy6zWQyaGlpQXNzMxd5MVDocrlQVFSEoqIiVFRUwGaz8UwSKgaz2WwoKCiApmm8Va3oviG/PFnh2WwWra2tiEaj2LlzJz799FMkEgk+HoIeLKcqvhkO5KVwAycnaCBaW1tx8OBB7Nq164z3nclk0NTU1OsXRzabRWNjo+4VlGCMoa6uDm1tbR1af0okuSAXCIkhBQzJ/xwIBHQVjaFQiBsFYpk89R5JJBKIRCL871zuCLHYh9wvxrkyqcyeCnvEGe4VReEtYinfO5s9OeEwleWT4JMPnCzz4e4iIfJWuI20tLTgF7/4BdatW3fG+8pms6irq+v1MvJoNIrf/e53eP3113Me89ixY4OilF6SHxjzrBVF4WXshw4dQnNzsy5tTxR6MbNDLNQRqy+poEXMGqG5JxljvPiGHgzUEyWVSmHPnj28c5+qqjwHm6ZGI+OEsrNoIuFwOMxTFcXzG+6uESNDRrgTiYQugNkXiL45Qozen+riSiQS2LlzJ959990+HadkeCJeg6FQqNMZYYzFN5QKSCIq+sWNDweyhGOxGK/uVFUVVquVW9/pdJr3NhEbYzU0NCAej6O9vZ03kqKHAD0kjH1JxHOTnGTICHdfk0wmsWHDBrS1tfFlbrcbCxcuxIQJE/Dpp5/ir3/9a5cWczwex+eff94Po5VITjawMi4T56LsLOAnridC7guxfJ6yRcSZcihlr7W1FXa7HclkEqFQiLtkjJP+St91z1BYN7+pvm7wlA+IaUwAUFZWhieeeALXXnst1qxZgx/+8IddznvXlUUhOclg/X6G8j0gntupuu4BJ+8FMXApsz56j1PdA9Li7gHGvinRaBTbt29HcXExdu/ezWfzkEjyjVzWeVfr5QoUdqfdqqR3kBb3GWCxWFBWVgZN04ZdW8m+ZLDe+PIeOEGu70F0u0jOnFN9j1K4JYOOwXrzy3vgBMYGUGIwU9I7SFeJRCLpVYyiIgW7/xkcM/JKJBKJpNtI4ZZIJJI8Qwq3RCKR5BlSuCUSiSTPkMItkUgkeYbMKpFIJJJBQndTTqXFLZFIJHmGFG6JRCLJM6RwSyQSSZ4hfdwSiUQySOhuFaq0uCWSIYDsozK8kMItkQwBZL+Q4YUUbolEIskzpHBLJBJJniGFWyKRSPIMKdwSyRBCnIBXMnSR6YASyRBCBimHB9LilkgkQ46h/uYhLW6JRDLkGOpvHtLilkgkkh4y0Ba9FG6JRCLJM6SrRCKRSHpIX7hiemLBS4tbIhnkDOUg21DkdNwoPV1fWtwSySBnqAfahho9/f86nQeztLglkiHKULfUz/T8yDLOx+9JCrdEIpHkGQqT72ESiUSSV0iLWyKRSPIMKdwSiUSSZ0jhlkgkkjxDCrdEIpHkGVK4JRKJJM+Qwi2RSCR5hhRuiUQiyTOkcEskEkmeIYVbIpFI8oz/BzXPb17PyMw7AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 400x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch:130/150: training loss 0.011723\n",
      "epoch:140/150: training loss 0.022256\n",
      "validation loss: 0.012630\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train completed, total time: 464.29540824890137.\n"
     ]
    }
   ],
   "source": [
    "max_epochs = 150\n",
    "val_interval = 25\n",
    "epoch_loss_list = []\n",
    "val_epoch_loss_list = []\n",
    "\n",
    "scaler = GradScaler(\"cuda\")\n",
    "total_start = time.time()\n",
    "for epoch in range(max_epochs):\n",
    "    controlnet.train()\n",
    "    epoch_loss = 0\n",
    "    for batch in train_loader:\n",
    "        images = batch[\"image\"].to(device)\n",
    "        masks = batch[\"mask\"].to(device)\n",
    "\n",
    "        optimizer.zero_grad(set_to_none=True)\n",
    "\n",
    "        with autocast(\"cuda\", enabled=True):\n",
    "            # Generate random noise\n",
    "            noise = torch.randn_like(images).to(device)\n",
    "\n",
    "            # Create timesteps\n",
    "            timesteps = torch.randint(\n",
    "                0, inferer.scheduler.num_train_timesteps, (images.shape[0],), device=images.device\n",
    "            ).long()\n",
    "\n",
    "            noise_pred = controlnet_inferer(\n",
    "                inputs=images,\n",
    "                diffusion_model=model,\n",
    "                controlnet=controlnet,\n",
    "                noise=noise,\n",
    "                timesteps=timesteps,\n",
    "                cn_cond=masks,\n",
    "            )\n",
    "\n",
    "            loss = F.mse_loss(noise_pred.float(), noise.float())\n",
    "\n",
    "        scaler.scale(loss).backward()\n",
    "        scaler.step(optimizer)\n",
    "        scaler.update()\n",
    "\n",
    "        epoch_loss += loss.item()\n",
    "\n",
    "    if epoch % print_every == 0:\n",
    "        msg = f\"epoch:{epoch:d}/{max_epochs:d}: training loss {np.mean(epoch_loss / len(train_loader)):4f}\"\n",
    "        print(msg)\n",
    "\n",
    "    epoch_loss_list.append(epoch_loss / len(train_loader))\n",
    "\n",
    "    if (epoch + 1) % val_interval == 0:\n",
    "        controlnet.eval()\n",
    "        val_epoch_loss = 0\n",
    "        for batch in val_loader:\n",
    "            images = batch[\"image\"].to(device)\n",
    "            masks = batch[\"mask\"].to(device)\n",
    "\n",
    "            with torch.no_grad():\n",
    "                with autocast(\"cuda\", enabled=True):\n",
    "                    noise = torch.randn_like(images).to(device)\n",
    "                    timesteps = torch.randint(\n",
    "                        0, controlnet_inferer.scheduler.num_train_timesteps, (images.shape[0],), device=images.device\n",
    "                    ).long()\n",
    "\n",
    "                    noise_pred = controlnet_inferer(\n",
    "                        inputs=images,\n",
    "                        diffusion_model=model,\n",
    "                        controlnet=controlnet,\n",
    "                        noise=noise,\n",
    "                        timesteps=timesteps,\n",
    "                        cn_cond=masks,\n",
    "                    )\n",
    "                    val_loss = F.mse_loss(noise_pred.float(), noise.float())\n",
    "            val_epoch_loss += val_loss.item()\n",
    "\n",
    "        val_epoch_loss_list.append(val_epoch_loss / len(val_loader))\n",
    "        msg = f\"validation loss: {val_epoch_loss_list[-1]:4f}\"\n",
    "        print(msg)\n",
    "\n",
    "        # Sampling image during training with controlnet conditioning\n",
    "\n",
    "        with torch.no_grad():\n",
    "            with autocast(\"cuda\", enabled=True):\n",
    "                noise = torch.randn((1, 1, 64, 64)).to(device)\n",
    "                sample = controlnet_inferer.sample(\n",
    "                    input_noise=noise,\n",
    "                    diffusion_model=model,\n",
    "                    controlnet=controlnet,\n",
    "                    cn_cond=masks[0, None, ...],\n",
    "                    scheduler=scheduler,\n",
    "                    verbose=False,\n",
    "                )\n",
    "        plt.subplots(1, 2, figsize=(4, 2))\n",
    "        plt.subplot(1, 2, 1)\n",
    "        plt.imshow(masks[0, 0].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "        plt.axis(\"off\")\n",
    "        plt.title(\"Conditioning mask\")\n",
    "        plt.subplot(1, 2, 2)\n",
    "        plt.imshow(sample[0, 0].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "        plt.axis(\"off\")\n",
    "        plt.title(\"Sample image\")\n",
    "        plt.tight_layout()\n",
    "        plt.axis(\"off\")\n",
    "        plt.show()\n",
    "\n",
    "total_time = time.time() - total_start\n",
    "print(f\"train completed, total time: {total_time}.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b005e3bd-54b9-44bc-964d-ca0c9585a139",
   "metadata": {},
   "source": [
    "## Sample with ControlNet conditioning\n",
    "First we'll provide a few different masks from the validation data as conditioning. The samples should respect the shape of the conditioning mask, but don't need to have the same content as the corresponding validation image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "262a5129-9445-4ecc-a37a-a97c59386747",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "sampling...: 100%|████████████████████████████████████████████████████████| 1000/1000 [00:35<00:00, 28.38it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 24 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "progress_bar_sampling = tqdm(scheduler.timesteps, total=len(scheduler.timesteps), ncols=110, position=0, leave=True)\n",
    "progress_bar_sampling.set_description(\"sampling...\")\n",
    "num_samples = 8\n",
    "sample = torch.randn((num_samples, 1, 64, 64)).to(device)\n",
    "\n",
    "val_batch = first(val_loader)\n",
    "val_images = val_batch[\"image\"].to(device)\n",
    "val_masks = val_batch[\"mask\"].to(device)\n",
    "for t in progress_bar_sampling:\n",
    "    with torch.no_grad():\n",
    "        with autocast(\"cuda\", enabled=True):\n",
    "            down_block_res_samples, mid_block_res_sample = controlnet(\n",
    "                x=sample, timesteps=torch.Tensor((t,)).to(device).long(), controlnet_cond=val_masks[:num_samples, ...]\n",
    "            )\n",
    "            noise_pred = model(\n",
    "                sample,\n",
    "                timesteps=torch.Tensor((t,)).to(device),\n",
    "                down_block_additional_residuals=down_block_res_samples,\n",
    "                mid_block_additional_residual=mid_block_res_sample,\n",
    "            )\n",
    "            sample, _ = scheduler.step(model_output=noise_pred, timestep=t, sample=sample)\n",
    "\n",
    "plt.subplots(num_samples, 3, figsize=(6, 8))\n",
    "for k in range(num_samples):\n",
    "    plt.subplot(num_samples, 3, k * 3 + 1)\n",
    "    plt.imshow(val_masks[k, 0, ...].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.axis(\"off\")\n",
    "    if k == 0:\n",
    "        plt.title(\"Conditioning mask\")\n",
    "    plt.subplot(num_samples, 3, k * 3 + 2)\n",
    "    plt.imshow(val_images[k, 0, ...].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.axis(\"off\")\n",
    "    if k == 0:\n",
    "        plt.title(\"Actual val image\")\n",
    "    plt.subplot(num_samples, 3, k * 3 + 3)\n",
    "    plt.imshow(sample[k, 0, ...].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.axis(\"off\")\n",
    "    if k == 0:\n",
    "        plt.title(\"Sampled image\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a1ca8274-d85c-4dcc-9c16-08ac2b6ce0fd",
   "metadata": {},
   "source": [
    "What happens if we invent some masks? Let's try a circle, and a square"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "393fca6c-2446-4822-8aad-44403761b40e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "sampling...: 100%|████████████████████████████████████████████████████████| 1000/1000 [00:15<00:00, 66.57it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xx, yy = np.mgrid[:64, :64]\n",
    "circle = ((xx - 32) ** 2 + (yy - 32) ** 2) < 30**2\n",
    "\n",
    "square = np.zeros((64, 64))\n",
    "square[10:50, 10:50] = 1\n",
    "\n",
    "mask = np.concatenate((circle[None, None, ...], square[None, None, ...]), axis=0)\n",
    "mask = torch.from_numpy(mask.astype(np.float32)).to(device)\n",
    "\n",
    "\n",
    "progress_bar_sampling = tqdm(scheduler.timesteps, total=len(scheduler.timesteps), ncols=110, position=0, leave=True)\n",
    "progress_bar_sampling.set_description(\"sampling...\")\n",
    "num_samples = 2\n",
    "sample = torch.randn((num_samples, 1, 64, 64)).to(device)\n",
    "\n",
    "for t in progress_bar_sampling:\n",
    "    with torch.no_grad():\n",
    "        with autocast(\"cuda\", enabled=True):\n",
    "            down_block_res_samples, mid_block_res_sample = controlnet(\n",
    "                x=sample, timesteps=torch.Tensor((t,)).to(device).long(), controlnet_cond=mask\n",
    "            )\n",
    "            noise_pred = model(\n",
    "                sample,\n",
    "                timesteps=torch.Tensor((t,)).to(device),\n",
    "                down_block_additional_residuals=down_block_res_samples,\n",
    "                mid_block_additional_residual=mid_block_res_sample,\n",
    "            )\n",
    "            sample, _ = scheduler.step(model_output=noise_pred, timestep=t, sample=sample)\n",
    "\n",
    "plt.subplots(num_samples, 2, figsize=(4, 4))\n",
    "for k in range(num_samples):\n",
    "    plt.subplot(num_samples, 2, k * 2 + 1)\n",
    "    plt.imshow(mask[k, 0, ...].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.axis(\"off\")\n",
    "    if k == 0:\n",
    "        plt.title(\"Conditioning mask\")\n",
    "    plt.subplot(num_samples, 2, k * 2 + 2)\n",
    "    plt.imshow(sample[k, 0, ...].cpu(), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.axis(\"off\")\n",
    "    if k == 0:\n",
    "        plt.title(\"Sampled image\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "formats": "py:percent,ipynb"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  },
  "vscode": {
   "interpreter": {
    "hash": "4f1513a79f82193cb81c96943579af15c6a44d6347609348bde584197ab7b1ab"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
